Question

Q7. If one zero of the quadratic polynomial x2 +3x + k is 2 then find the value of k.​

Answer 1

Answer:

The value of k is -10

Step-by-step explanation:

Given : Quadratic polynomial x^2+3x+kx

2

+3x+k

One of the root is 2

To find : The value of k

Solution :

Let the given quadratic polynomial be f(x)=x^2+3x+kf(x)=x

2

+3x+k

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

Hence f(2) = 0

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

f(2)=2^2+3(2)+kf(2)=2

2

+3(2)+k

0=4+6+k0=4+6+k

0=10+k0=10+k

k=-10k=−10

Therefore, The value of k is -10.

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Answer 2

Given:

• One zero = 2

Now putting x= 2 in the given equation

${x}^{2} + 3x + k = 0$

$\implies \: {2 }^{2} + 3 \times 2 + k = 0$

$\implies \: 10 + k = 0$

$\implies \: k = - 10$