Question

Find the value of “p” from the polynomial x2 + 3x + p, if one of the zeroes of the polynomial is 2.

Answer 1

Answer:

Find the value of “p” from the polynomial x2 + 3x + p, if one of the zeroes of the polynomial is 2.

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As 2 is the zero of the polynomial.

We know that if α is a zero of the polynomial p(x), then p(α) = 0

Substituting x = 2 in x2 + 3x + p,

⇒ 22 + 3(2) + p = 0

⇒ 4 + 6 + p = 0

⇒ 10 + p = 0

⇒ p = -10

Answer 2

Answer:

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As 2 is the zero of the polynomial.

We know that if α is a zero of the polynomial p(x), then p(α) = 0

Substituting x = 2 in x2 + 3x + p,

⇒ 22 + 3(2) + p = 0

⇒ 4 + 6 + p = 0

⇒ 10 + p = 0

⇒ p = -10

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