When x^2 + bx + 2 is divided by X + 3, the remainder is 5. find the value of b

Isabela asked Feb 15, 2023

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29 votes

When x^2 + bx + 2 is divided by
X + 3, the remainder is 5. find the value of b

Isabela asked Feb 15, 2023

2.8k points

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18 votes

Answer:

b = 2

Explanation:

Let f(x) = x² + bx + 2,

$f( - 3) = 5 \\ {( - 3)}^(2) - 3b + 2 = 5 \\ 11 - 3b = 5 \\ 3b = 6 \\ b = 2$

Viraj Doshi answered Feb 19, 2023

3.3k points

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