Question

If the polynomials az³ + 4z² + 3z -4 and z³ - 4z + a leave the same remainder when divided by z- 3, find the value of a​

Answer 1

Answer:

Step-by-step explanation:

by remainder theorem

When we divide a polynomial f(x) by x−c the remainder is f(c)

so remainder in both cases will be f(3)

f(z)=az³+4z²+3z-4

f(3)=27a+36+9-4=27a-41

f(z)=z³-4z+a

f(3)=27-12+a=15+a

since both polynomials leave the same remainder

27a-41=15+a

26a=56

a=28/13