Question

if one zero of quadratic polynomial kminus 1x2 +kx+1 is minus3 find k

Answer 1

x² + kx+1=0

if x= -3

(-3)² + k× (-3)+ 1=0

9 -3k+1=0

10 -3k=0

k= 10/3

Answer 2

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 .