Question

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

Answer 1

Step-by-step explanation:

2(2)+3(2)+p=0

so 4+6+p=0

10+p=0

p=_10

Answer 2

Given,

Polynomial equation,

x² + 3x + p,

One of the zeroes is 2.

To find,

Value of p.

Solution,

Here, the given polynomial equation (let q(x)) is,

q(x) = x² + 3x + p.

Further, one of the zeroes is given, that is, equal to 2.

Now, a zero of a polynomial is a value at which the polynomial becomes 0.

So, at x = 2, q(x) shall be 0. From this we can also find out p as follows.

q(2) = 0

⇒ (2)² + 3(2) + p = 0

⇒ 4 + 6 + p = 0

⇒ p = -10.

Therefore, for the given polynomial, the value of p will be -10.