Question

Check whether the polynomial p(
x)=4x3+4x2 -x-1 is a multiple of (2x+1).

Answer 1

Answer:

Step-by-step explanation:

Find the zero of 2x+1

2x+1=0

2x=-1

x=-1/2

P(-1/2) =4 × (-1/2)^3-+ 4 × (-1/2)^2 -(-1/2) -1

= 4 × -1/8 + 4 × 1/4 +1/2 -1

= -1/2 +1 +1/2 -1

=0

Since P(-1/2) =0, this implies that the remainder is zero.when P(x) is divided by 2x+1. Hence P(x) is a multiple of 2x+1

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