Question

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What should be added to
$4x {}^{3} - 10x {}^{2} + 12x + 6$
so that it becomes exactly divisible by
$2x + 1$
??
plz answer the method to solve not just an Answer
I'll mark the first one to answer Correctly like I wanted n a thx​

Answer 1

Answer:

$2x + 1 = 0$

$x = - \frac{1}{2}$

putting X = -1/2 in polynomial, we get

$4( \frac{ - 1}{2} ) {}^{3} - 10( - \frac{1}{2} ) {}^{2} + 12( - \frac{1}{2} ) + 6$

$- 4 \times \frac{1}{8} - 10 \times \frac{1}{4} - 6 + 6 =$

$- \frac{1}{2} - \frac{5}{2} = - 3$

so after adding 3 , it become divisible by 2x + 1.

Thanks.

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