Question-
Find the value of “p” from the polynomial x² + 3x + p, if one of the zeroes of the polynomial is 2.
(A) 20
(B) 30
(C) -10
(D) 10
Solution
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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