Question

Check whether the polynomial p(x) =4xcube + 4xsquare+x-1 is a multiple of (2x+1)

Answer 1

Step-by-step explanation:

p(x) = 4x³+4x²-x-1

2x+1 =0

x=-1/2

Since p(x) is a multiple of 2x+1, we can easily conclude that 2x+1 is a factor of p(x)

Since 2x+1 is a factor of p(x), p(-1/2)=0 (By factor theorem)

Substituting x in the polynomial,

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

Hence proved

Note: - The question has been wrongly given

It will be either (2x-1) or 4x³+4x²-x-1

Answer 2

Answer:

yes it is a multiple

Step-by-step explanation:

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