F(x) = 4x 3 + ax 2 + 13x + b F(x) has a factor of 2x

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F(x) = 4x3 + ax2 + 13x + b

F(x) has a factor of 2x – 1 and leaves a remainder of 21 when divided by x – 2.

a. Find the value of a and of b.

b. Find the remainder when the expression is divided by x + 1.

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