Math, asked by aslisumitrana, 1 year ago

Find The Value of K, if -1 is a Zero of the polynomial p(x) =kx²-4x+K

Answers

Answered by GreyAnurag
44
K(-1)² - 4(-1) + K = 0
K + 4 + K = 0
2K + 4 = 0
2K = -4
K = -2
Answered by Anonymous
8

Step-by-step explanation:

GIVEN:-)

→ One zeros of quadratic polynomial = -3.

→ Quadratic polynomial = ( k - 1 )x² + kx + 1.

Solution:-

→ P(x) = ( k -1 )x² + kx + 1 = 0.

→ p(-3) = ( k - 1 )(-3)² + k(-3) + 1 = 0.

=> ( k - 1 ) × 9 -3k + 1 = 0.

=> 9k - 9 -3k + 1 = 0.

=> 6k - 8 = 0.

=> 6k = 8.

 \large \boxed{=> k = \frac{8}{6} = \frac{4}{3} }

Hence, the value of ‘k’ is founded .

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