SOLUTION: If there is a remainder of 3 when you divide p(x) = x^3 + 4 x^2 - hx + 30 by x - 3, what is the value of h? A) -90 (B) 4 (C) 12 (D) 27 (E) 30

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: If there is a remainder of 3 when you divide p(x) = x^3 + 4 x^2 - hx + 30 by x - 3, what is the value of h? A) -90 (B) 4 (C) 12 (D) 27 (E) 30       Log On


   

Question 329826: If there is a remainder of 3 when you divide
p(x) = x^3 + 4 x^2 - hx + 30 by x - 3, what is the value of h?
A) -90 (B) 4 (C) 12 (D) 27 (E) 30
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If there is a remainder of 3 when you divide
p(x) = x^3 + 4 x^2 - hx + 30 by x - 3, what is the value of h?
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Using synthetic division:
3)....1....4....-h....30
.......1....7....-h+21..|..-3h+36
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Solve -3h+36 = 0
3h = 36
h = 12
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Cheers,
Stan H.
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A) -90 (B) 4 (C) 12 (D) 27 (E) 30