When writing polynomials in standard form, it is important to keep the signs with the terms. In the previous example,x+4x3-x2" role="presentation" style="display: inline-block; line-height: 0;...

When writing polynomials in standard form, it is important to keep the signs with the terms. In the previous example,x+4x3-x2" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgb(51, 51, 51); font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(255, 255, 255); position: relative;">x+4x3−x2x+4x3-x2was written in standard form as4x3-x2+x" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgb(51, 51, 51); font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(255, 255, 255); position: relative;">4x3−x2+x4x3-x2+x. Notice, the minus sign stayed with the termx2" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgb(51, 51, 51); font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(255, 255, 255); position: relative;">x2x2. When writing polynomials in standard form, misplacing a sign will result in an entirely different expression. For example,y2-y3" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgb(51, 51, 51); font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(255, 255, 255); position: relative;">y2−y3y2-y3written in standard form is–y3+y2" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgb(51, 51, 51); font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(255, 255, 255); position: relative;">–y3+y2–y3+y2, noty3-y2" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgb(51, 51, 51); font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(255, 255, 255); position: relative;">y3−y2y3-y2. To help see the difference between–y3+y2" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgb(51, 51, 51); font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(255, 255, 255); position: relative;">–y3+y2–y3+y2andy3-y2" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgb(51, 51, 51); font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(255, 255, 255); position: relative;">y3−y2y3-y2, lety" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgb(51, 51, 51); font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(255, 255, 255); position: relative;">yyequal2" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgb(51, 51, 51); font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(255, 255, 255); position: relative;">22. With2" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgb(51, 51, 51); font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(255, 255, 255); position: relative;">22as the value ofy" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgb(51, 51, 51); font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(255, 255, 255); position: relative;">yy,–y3+y2" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgb(51, 51, 51); font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(255, 255, 255); position: relative;">–y3+y2–y3+y2equals-23+22" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgb(51, 51, 51); font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(255, 255, 255); position: relative;">−23+22-23+22. This can be simplified to-8+4" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgb(51, 51, 51); font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(255, 255, 255); position: relative;">−8+4-8+4and that equals negative4" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgb(51, 51, 51); font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(255, 255, 255); position: relative;">44. Now,y3-y2" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgb(51, 51, 51); font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(255, 255, 255); position: relative;">y3−y2y3-y2, withy" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgb(51, 51, 51); font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(255, 255, 255); position: relative;">yyas the value of2" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgb(51, 51, 51); font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(255, 255, 255); position: relative;">22, is23-22" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgb(51, 51, 51); font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(255, 255, 255); position: relative;">23−2223-22. This equals8-4" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgb(51, 51, 51); font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(255, 255, 255); position: relative;">8−48-4which is positive4" role="presentation" style="display: inline-block; line-height: 0; font-size: 16.38px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; color: rgb(51, 51, 51); font-family: "Helvetica Neue", Helvetica, Arial, sans-serif; background-color: rgb(255, 255, 255); position: relative;">44.
Sep 10, 2021
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