Math, asked by clashofclans19172005, 9 months ago

Check whether the polynomial f(x)=4x^3+4x^2-x-1 is a factor of (2x-1)

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Answered by Anonymous
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Brainly.in

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vinod000001

vinod000001

26.03.2018

Math

Primary School

+13 pts

Answered

Check whether the polynomial

p(x)=4x³+4x²-x-1 is a multiply of (2x+1)

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THE BRAINLIEST ANSWER!

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

Answered by prativachanda3
2

Answer:

yes it f(x) is a factor of (2x-1)

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