Question

on dividing 3xcube _xsquare_ x _ 4 by x _ 1 and find the quotient and remainder

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Answer 1

Step-by-step explanation:

f(x) = q(x) • g(x) + r(x)

Here, f(x) = 3x³ - x² - x - 4

g(x) = (x - 1)

f(x) ÷ g(x) = q(x) + r(x)

Therefore

q(x) = 3x² + 2x + 1

r(x) = -3

Verification

p(x) = q(x) • g(x) + r(x)

= (3x² + 2x + 1)(x - 1) + (-3)

= 3x³ - 3x² + 2x² - 2x + x - 1 - 3

= 3x³ - x² - x - 4

Here p(x) = f(x)

Hence verified