Question

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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Answer 1

Answer:

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

hope it helps uh ☆

Answer 2

QUESTION :

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

ANSWER :

If 2 is the zero of the polynomial, then the value of the polynomial is 0 when x = 2

p(x) = x^2 + 3x + p

x = 2,

and p(2) = 0

so,

${x}^{2} + 3x + p = 0 \\ {2}^{2} + 3(2) + p = 0 \\ 4 + 6 + p = 0 \\ p = - 10$

FINAL ANSWER :

p = -10