Question

Find the remainder when 4x^3 – 12x^2 + 14x – 7 is divided by 2x – 3

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Answer 1

Answer:

this is the answer for this question

Answer 2

Step-by-step explanation:

2x−3=0⇒x= 3/2

By the remainder theorem, we know that when f(x) is by (2x−3), the remainder is f(3/2).

now, f(3/2) = [4(3/2)³-12(3/2)²+14(3/2)-7]

=[4(27/8)-12(9/4)+7(3)-7]

=[27/2 -27+21-7]

=[27/2-13]

=27-26/2

=1/2