Question

Q1. Factorise:
1 – 64z3 – 12z + 48z2

Q2. If x=2 and x=0 are the roots of the polynomial f(x) = 2x3 – 5x2 + ax + b. Find
the value of a and b.

Answer 1

Answer:

f(x) = 2(2)3 - 5(2)2 + a(2) + b = 0 ⇒ 16 - 20 + 2a + b = 0 ⇒ 2a + b = 4 ....(i) ⇒ f(0) = 2(0)3 - 5(0)2 + a(0) + b = 0 ⇒ b = 0

So, 2a = 4

Hence, a = 2, b = 0

Answer 2

See the attachment↑↑

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Hope it's helpful for you ✌️