Question

Find the remainder when x³+2x²+4x-5 divided by (x +1) & verify the result.​

Answer 1

Answer:

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Answer 2

The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial , x−a, the remainder of that division will be equivalent to f(a).

We have,

• f(x) = x³+2x²+4x-5
• g(x) = x+1

» x+1 = 0

$\longrightarrow$ x = −1

Remainder = p(−1)

= (−1)³ −2(−1)² −4(−1)−5

= −1−2+4−5

= − 6 − 6

= 0