Question

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

Answer 1

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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 $x = 2\: in \:x^2 + 3x + p,$

⇒$2^2 + 3(2) + p = 0$

⇒ $4 + 6 + p = 0$

⇒ $10 + p = 0$

⇒ $p = -10$

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Answer 2

Answer:

$- 10$

Step-by-step explanation:

$\times 2 + 3\times+ = 0 \\ put \: 2 \: in \: place \: of \: x \\ 4 + 6 = - p \\ - p = 10 \\ p = - 10$