If One Zero of the Quadratic Polynomial x^2 +3x + k is 2, then Find the Value of k

By Mohit Uniyal|Updated : June 6th, 2023

The value of k=−10.

Here are the detailed steps to find the value of k when 2 is a zero of the quadratic polynomial x^2+3x+k:

• Start with the quadratic polynomial and since 2 is a zero of the polynomial, substitute x = 2 into the polynomial.
• Simplify the expression inside the parentheses bby combining like terms.
• Set the expression equal to zero, since 2 is a zero of the polynomial and then solve for k by isolating it on one side of the equation.

If One Zero of the Quadratic Polynomial x2 +3x + k is 2, then Find the Value of k

Solution:

If 2 is a zero of the quadratic polynomial x2+3x+k, it means that when we substitute x = 2 into the polynomial, the expression evaluates to zero.

Let's substitute x = 2 into the polynomial and solve for k:

(2)2+3(2)+k=0

Simplifying the expression:

4+6+k=0

⇒ 10+k=0

⇒ k=-10

Therefore, the value of k for which one zero of the quadratic polynomial x2+3x+k is 2 is k=-10.