Question

Simplify the polynomials A and B and find <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{A}{B}$ .

A = 3 <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $y^3$ + 5 <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $y^3$ - <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $y^3$

B = 6 <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $y^2$ - 4 <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $y^2$ + 3 <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $y^2$ - 7 <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $y^2$

Answer 1

Simplifying A and B:

A = 3 <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $y^3$ + 5 <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $y^3$ - <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $y^3$
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\Rightarrow$ A = 7$y^3$
(0.5 mark)

B = 6 <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $y^2$ - 4 <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $y^2$ + 3 <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $y^2$ - 7 <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $y^2$
$\Rightarrow$ B = -2$y^2$
(0.5 mark)

Now, dividing A by B:


(1.5 marks) (0.5 mark)