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14. consider the polynomial
p(x) = 2x“ – (m + 3)x – 1.
If p(x) is divisible by x-2 then m=

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3 votes

Answer:

If
p(x) is divisible by
x-2, then
m = (1)/(2).

Explanation:

Let
p(x) = 2\cdot x^(2)-(m+3)\cdot x - 1, if
p(x) is divisible by
x-2, then
p(2) = 0. That is:


2\cdot 2^(2)-(m+3)\cdot (2)-1 = 0


8 - 2\cdot m -6 -1 = 0


1 -2\cdot m = 0


2\cdot m = 1


m = (1)/(2)

If
p(x) is divisible by
x-2, then
m = (1)/(2).

User Dave White
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