Question

(2) (p² + 7p-5) = (p+3)​

Answer 1

Answer:

Here,

p(p) =p² + 7p-5

And g(p) = p + 3

For the division process, refer to the attachment.

On dividing, we have

q(p) = p + 4

r(p) = -17

Let's check it using the division algorithm.

p(p) = g(p) q(p) + r(p)

p²+ 7p-5 (p+3)(p+4) + (-17)

p² + 7p-5=p² + 4p + 3p + 12 - 17

p² + 7p-5=p² + 7p-5

LHS = RHS

Hence, the division is correct.

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