Question

If
One Zero of the Quadnatic polynomial
x² + 3x + K is 2 then 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.

Answer 2

Answer:

k. = -10

Step-by-step explanation:

$as \: the \: one \: zero \: is \: 2 \\ that \: is \: x = 2 \\ so \: f(2) = {x}^{2} + 3x + k = 0 \\ {2}^{2} + 3 \times 2 + k = 0 \\ 4 + 6 + k = 0 \\ 10 + k = 0 \\ k = - 10$