Question

Find the remainder when p(z) = z^3 – 3z^+ 4z + 50 is divided by q(z) = z+3.​

Answer 1

(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

Answer 2

Answer:

-16

Step-by-step explanation:

take z as -3 and then substitute