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

When x^2 + bx + 2 is divided by X + 3, the remainder is 5. find the value of b
asked 191k views
17 votes
When x^2 + bx + 2 is divided by
X + 3, the remainder is 5. find the value of b

asked
User Levelonehuman
by
8.1k points

1 Answer

9 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

answered
User Jaksky
by
9.1k points
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