Question

Please help and show all workings

Answer 1

Answer:

27a + 9b + c is reminder

Step-by-step explanation:

Remainder theorem says that when p(x) is divided by (x – a) the remainder is given

by p(a)

Let p(x) = ax³ + bx²+ c

P(x) when divided by (x – 3)

Using Remainder theorem, we have

Remainder = p(3) = a(3³) + b(3²) +c

= 27a + 9b + c

Answer 2

THEOREM:

Remainder theorem —» If a polynomial P(x) is divided by the binomial x-a, then the remainder obtained is p(a).

ANSWER:

Using remainder theorem,

Let f(x) = ax³ + bx² + c

Now, f(x) is divided by x - 3, we get

Remainder = a(3)³ + b(3)² + 3

• 27a + 9b + c.