If one zero of the quadratic polynomialx2+3x+k is 2, then the value of ‘k’ isa)– 10b)5c)– 5d)10Correct answer is option 'A'. Can you explain this answer?

Question

If one zero of the quadratic polynomialx2+3x+k is 2, then the value of &lsquo;k&rsquo; isa)&ndash; 10b)5c)&ndash; 5d)10Correct answer is option 'A'. Can you explain this answer?

Answer

Let the given quadratic polynomial be p(x) = x^2 + 3x + k

Given one of the zero of the quadratic polynomial is 2.

Hence p(2) = 0

Put x = 2 in p(x), we get

p(2) = 2^2 + 3(2) + k

⇒ 0 = 4 + 6 + k

⇒ 0 = 10 + k

∴ k = – 10

Answer

Answer

Answer

To find the value of k, we can use the fact that if 2 is a zero of the quadratic polynomial, then substituting x = 2 into the polynomial will give us a result of 0.

So, substituting x = 2 into the quadratic polynomial x^2 + 3x + k, we have:

(2)^2 + 3(2) + k = 0
4 + 6 + k = 0
10 + k = 0

Now, we can solve for k by subtracting 10 from both sides of the equation:

k = -10

Therefore, the value of k is -10.

Answer

K is _10 option A

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