Question

check the whether 2 and -1 are the zeroes of the polynomials p(x)when p(x) = x×x-xplus 3
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Answer 1

Answer:

checked

Step-by-step explanation:

Answer 2

Correct Question :

Check the whether 2 and -1 are the zeroes of the polynomial p(x) = x² - x + 3

Answer:

2 and -1 are not zeroes of the given polynomial.

Step-by-step explanation:

Given polynomial,

p(x) = x² - x + 3

• If 2 is a zero of the given polynomial; when we substitute x = 2, the result should be zero.

Put x = 2,

p(2) = 2² - 2 + 3

p(2) = 4 - 2 + 3

p(2) = 2 + 3

p(2) = 5

p(2) ≠ 0

∴ 2 is not a zero of the given polynomial.

• If -1 is a zero of the given polynomial; when we substitute x = -1, the result should be zero.

Put x = -1,

p(-1) = (-1)² - (-1) + 3

p(-1) = 1 + 1 + 3

p(-1) = 2 + 3

p(-1) = 5

p(-1) ≠ 0

∴ -1 is not a zero of the given polynomial.