Question

Add the polynomials
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> (${3y}^5$ + <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $y^4$ + <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> ${2y}^3-2y+5$) + ( <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> ${2y}^5$ + <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> ${3y}^3+7y+2$)

Answer 1

First identify the like terms, group it and add them together.
(0.5 mark)

(${3y}^5$ + ${2y}^5$) + $y^4$ + (${2y}^3$ + ${3y}^3)+(-2y+7y)+(5+2)$
(1 mark)

= ${5y}^5$ + $y^4$ + ${5y}^3+5y+7$
(0.5 mark)