Question

If x3 + ax2 – bx + 10 is divisible by x2 – 3x + 2, find the values of 3a -b.
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Answer 1

Answer:

answered Dec 20, 2017 by saurav24 Expert (1.4k points)

p(x) = x4 - 3x2 + 2x - 5

According to remainder theorem, the required remainder will be = p(2)

p(x) = x4 - 3x2 + 2x - 5

∴ p(2) = 24 - 3(2)2 + 2(2) - 5

=16 - 12 + 4 - 5 = 3