Question

using remainder theorem find the remainder when 3x³-2x²+x-2 is divided by x+2
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.please do it in full process​

Answer 1

Answer:

Given the equation 3x

3

+2x

2

+2x+k is divided by x+2 the reminder is 4.

Put the value x=−2 in equation, we get

3(−2)

3

+2(−2)

2

+2(−2)k=4

⇒3(−8)+2(4)+2(−2)+k=4

⇒−24+8−4+k=4

⇒k=4+24−8+4

⇒k=24

Step-by-step explanation:

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Answer 2

EXPLANATION.

Using remainder theorem.

Find remainder when,

⇒ 3x³ - 2x² + x - 2 is divided by x + 2.

As we know that,

We can write equation as,

⇒ x + 2 = 0.

⇒ x = - 2.

Put the value of x = - 2 in the equation, we get.

p(x) = 3x³ - 2x² + x - 2.

p(-2) = 3(-2)³ - 2(-2)² + (-2) - 2.

⇒ p(-2) = 3(-8) - 2(4) - 2 - 2.

⇒ p(-2) = - 24 - 8 - 4.

⇒ p(-2) = - 36.