Check whether q(x) is a multiple of R(x) or not if q (x) =2x3-11x2-4x 5;r(x)=2x 1
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q (x) is a multiply of r (x)
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q(x) is not a multiple of r(x) if q(x) = 2x³ - 11x² - 4x + 5 and r (x) = 2x + 1
Step-by-step explanation:
q(x) is a multiple of R(x) if q(x) has r(x) as one of the factor
q(x) = 2x³ - 11x² - 4x + 5
r (x) = 2x + 1
x = -1/2
q(x) should be zero for x = -1/2 if r(x) is one of the factor
q(-1/2) = 2(-1/2)³ - 11(-1/2)² - 4(-1/2) + 5
= -1/4 - 11/4 + 2 + 5
= -3 + 2 + 5
= 4 ≠ 0
Hence q(x) is not a multiple of r(x)
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