Use polynomial long division to perform the indicated division. Write the polynomial in the form p(x) = d(x)q(x) + r(x). (8x^2 − x − 21) ÷ (x^2 − 1)

Answer 1

Be careful of the missing term in the dividend.

It is x^2-1 = x^2 + 0x - 1

8

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x^2 - 1 | 8x^2 - x - 21

8x^2 + 0x - 8

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-x - 13

CHECK: 8(x^2-1)) - x - 13 = 8x^2 - 8 - x - 13 = 8x^2 -x - 21

p(x) = 8x^2-x-21

d(x) = x^2 - 1

q(x) = 8

r(x) = -x-13