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p(x)=2x2+3x+7p(x) =2x^2+3x+7,q(x)=6x2+8x9q(x)=6x^2+8x-9Find p(x)+q(x)

A4x2+5x+164x^2+5x+16

B4x25x+16-4x^2-5x+16

C8x2+11x28x^2+11x-2

D8x2+11x+28x^2+11x+2

Answer:

8x2+11x28x^2+11x-2

Read Explanation:

p(x)=2x2+3x+7p(x) =2x^2+3x+7

q(x)=6x2+8x9q(x)=6x^2+8x-9

p(x)+q(x)=x2(2+6)+x(3+8)+(79)p(x)+q(x) =x^2(2+6)+x(3+8)+(7-9)

=8x2+11x2=8x^2+11x-2


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p(x)=2x2+3x+7p(x) =2x^2+3x+7,q(x)=6x2+8x9q(x)=6x^2+8x-9Find p(x)×q(x)p(x)\times{q(x)}

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Which theorem states that:"Given polynomial p(x), if p(a)=0 for some number a, then (x - a) is a linear factor of p(x). Likewise if (x-a) is a linear factor of p(x) then p(a) = 0."