Question

What must be subtracted from the polynomial x³ + x² – 2x + 1, so that the result is exactly divisible by (x – 3)?

विकल्प

• – 31

• – 30

• 30

• 31

Answer 1

31

Explanation:

On dividing x³ + x² – 2x + 1 by (x – 3), we get

Put x = 3, then by remainder theorem

P(3) = 3³ + 3² – 2 × 3 + 1

= 27 + 9 – 6 + 1

= 36 – 6 + 1

= 31

So, 31 must be subtracted in order to divide p(x) by (x – 3).