Question

Verify the zeros of the polynomial P(x) = x³ - 6x + 11x -6, x = 1, 2, 3
If u ans me i will mark u as brainleist​

Answer 1

Given Polynomial:

P(x) = x³ - 6x² + 11x - 6

We need to verify whether 1, 2, 3 are zeroes of the polynomial or not

So, we need to substitute values of x in the polynomial as 1, 2, 3

P(1) = (1)³ - 6(1)² + 11(1) - 6

⇒ P(1) = 1 - 6 + 11 - 6

⇒ P(1) = 12 - 12

⇒ P(1) = 0

∴ P(1) is a zero of the polynomial.

P(2) = (2)³ - 6(2)² + 11(2) - 6

⇒ P(2) = 8 - 24 + 22 - 6

⇒ P(2) = 30 - 30

⇒ P(2) = 0

∴ P(2) is a zero of the polynomial.

P(3) = (3)³ - 6(3)² + 11(3) - 6

⇒ P(3) = 27 - 54 + 33 - 6

⇒ P(3) = 0

∴ P(3) is a zero of the polynomial.