Question

check whether (4x^2-x-1) is multiple of (2x-1)​

Answer 1

Answer:

2x + 1 = 0 => x = -1/2

Use the factor theorem:

2x + 1 is a factor of p(x) <=> p(-1/2) = 0.

p(-1/2) = 4*(-1/8) + 4*(1/4) + 1/2 - 1

= -1/2 + 1 + 1/2 - 1 = 0

Therefore p(x) is a multiple of 2x + 1.

Answer 2

Answer:

Yes it is multiple of 4x²-x-1

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