Question

$p(x) =2x^2+3x+7$,$q(x)=6x^2+8x-9$Find $p(x)\times{q(x)}$

• A. $$12x^4+32x^3+49x^2+28x-63$$
• B. $$12x^4+36x^3+39x^2+31x-63$$
• C. $$12x^4+34x^3+46x^2+27x-63$$
• D. $$12x^4+34x^3+48x^2+29x-63$$

Answer 1

Answer:

$$12x^4+34x^3+48x^2+29x-63$$

$p(x) =2x^2+3x+7$,$q(x)=6x^2+8x-9$

$p(x)\times{q(x)}=2x^2[6x^2+8x-9]+3x[6x^2+8x-9]+7[6x^2+8x-9]$

$=12x^4+16x^3-18x^2+18x^3+24x^2-27x+42x^2+56x-63$

$=12x^4+34x^3+48x^2+29x-63$