Question

if the polynomial az cube +3z-4 and z cube-4z +d leave that the same reminder when divided by z-3 find the value of z
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Answer 1

Answer:

(z−3) leaves same remainder for two polynomials.

According to remainder theorem,

z=3 when substituted in the polynomials will give remainder.

Substituting z=3 in both polynomials.

=a(3)

2

+4(3)

2

+3(3)−4

=27a+36+9−4=27a+41−−−−−−−−(1)

Now in other polynomial

=(3)

2

−4(3)+a=27−12+a=15+a−−−−−−−−(2)

According to question, both are equal

⟹27a+41=15+a

⟹26a=−26

⟹a=−1

Step-by-step explanation:

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