Question

Check whether the polynomial
p(x)=4x³+4x²-x-1 is a multiply of (2x+1)
Please give me own answer

Answer 1

hay!!
Dear friend -

☺☺Hear is ur solution ☺☺

2x+1=0

$x = - \frac{1}{2}$
Now, p
$( - \frac{1}{2}) = 4 \times ( - \frac{1}{2} )^{3} + 4 \times ( - \frac{1}{2} )^{2} - ( \frac{ - 1}{2} ) -1 \\ = 4 \times ( - \frac{1}{8} ) + 4 \times \frac{1}{4} + \frac{1}{2} - 1 \\ = ( - \frac{1}{2} + 1 + \frac{1}{2} - 1) = 0$
so, when p(x) is divided by (2x+1),the reminder is 0.This shows that (2x+1) is a factor of p(x).

Hence, p(x) is multiple of (2x+1)

I hope it's help you

Answer 2

answer in given achiment