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

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.

Answer:

If One Zero of the Quadratic Polynomial x² +3x + k is 2, then the Value of k is -10

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