Grade 1210 grade maths
Find the value of “p” from the polynomial x2 + 3x + p, if one of the zeroes of the polynomial is 2.
Find the value of “p” from the polynomial x2 + 3x + p, if one of the zeroes of the polynomial is 2.
1 Answer
Harshit Singh
Dear Student
As 2 is the zero of the polynomial.
We know that ifα is a zero of the polynomial p(x),
then p(α) = 0
Substituting x = 2 in x^2+ 3x + p,
⇒ 2^2+ 3(2) + p = 0
⇒ 4 + 6 + p = 0
⇒ 10 + p = 0
⇒ p = -10
Thanks
As 2 is the zero of the polynomial.
We know that ifα is a zero of the polynomial p(x),
then p(α) = 0
Substituting x = 2 in x^2+ 3x + p,
⇒ 2^2+ 3(2) + p = 0
⇒ 4 + 6 + p = 0
⇒ 10 + p = 0
⇒ p = -10
Thanks
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