Question

find what k,-4is a zero of polynomial xpower2 -x (2k+2) ?​

Answer 1

we have to find the value of k, if -4 is a zero of polynomial, x² - x - (2k + 2).

solution : here -4 is a zero of the polynomial, x² - x - (2k + 2).

∴ if we put the value of x = -4 in polynomial, the value of polynomial must be zero.

⇒ (-4)² - (-4) - (2k + 2) = 0

⇒ 16 + 4 - 2k - 2 = 0

⇒ 18 - 2k = 0

⇒ k = 18/2 = 9

Therefore the value of k is 9.

also read similar questions : for what value of k is -4 a zero of the polynomial x^-x-(2k+2)

https://brainly.in/question/16299441

find the value of root 48 + root 32 by root 27 + root 18

https://brainly.in/question/4008654

Answer 2

Step-by-step explanation:

Given:

${x}^{2} - x(2k + 2)$

-4 is the zero of polynomial.

To find: What is the value of k?

Solution:

Step 1: Let

$p(x) = {x}^{2} - x(2k + 2)$

Step 2: put P(-4)=0

$p( - 4) = ( { - 4)}^{2} - ( - 4)(2k + 2) \\ \\ ( { - 4)}^{2} - ( - 4)(2k + 2) = 0 \\ \\ 16 + 4(2k + 2) = 0 \\ \\ 16 + 8(k + 1) = 0 \\ \\ 8(k + 1) = - 16 \\ \\ k + 1 = - 2 \\ \\ k = - 3$

Final answer:

Value of k is -3.

Hope it helps you.

To learn more on brainly:

1) FIND THE REMAINDER WHEN

${x}^{101} - 1$

IS DIVIDED BY

$x - 1$

https://brainly.in/question/46017856

2) 6x²:7x- I is a quadratic equations. Write values of a, b, c.

https://brainly.in/question/45594910