Question

On dividing 3x3-2x2+5x+5 by a polynomial p(x), the quotient and
remainder are x2-x+2 and 3 respectively. Find p(x).

Answer 1

Answer:

the answer is 15 I think

by multiplying 3x3-2×2+5+5

Answer 2

Answer:

It is given that

f(x) = 3x3 - 2x2+ 5x - 5

q(x) = (x2 - x + 2)

r(x) = (-7)

According to division algorithm,

f(x) = p(x).q(x) + r(x)

⇒3x3 - 2x2 + 5x - 5 = p(x).(x2 - x + 2) + (-7)

⇒3x3 - 2x2 + 5x - 5 + 7 = p(x)(x2 - x + 2)

⇒ p(x) = 3x3−2x2+5x+2x2−x+2