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:

- 10

Step-by-step explanation:

x2 + 3x + p = 0

Put 2 in the place of x

P (2) = 2×2 + 3×2 + p = 0

= 4 + 6 + p = 0

= 10 +p = 0

= p = -10

Answer 2

$\sf\huge\red{Question:-}$

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

$\sf \: Substituting \: x = 2 \: in \: \: x^2 + 3x + p,$

⇒ 22 + 3(2) + p = 0

⇒ 4 + 6 + p = 0

⇒ 10 + p = 0

⇒ p = -10