Question

if 4 is a zero of polynomial p(x) =-2x2+3x+5k then value of k is​

Answer 1

As mentioned that 4 is the zero of the given polynomial.

=> p(x) = -2x + 3x + 5k

so we can say that

p(4) = 0

So, To find the value of k put 4 at the place of x in the given polynomial.

Therefore,

p(4) = -2(4) + 3(4) + 5k

=> -2(4) + 3(4) + 5k = 0

=> -2 × 4 + 3 × 4 + 5k = 0

=> -8 + 12 + 5k = 0

=> 4 + 5k = 0

=> 5k = 0 - 4

=> 5k = -4

=> k = -4 ÷ 5

=> k = -4/5 = -0.8

HOPE IT WOULD HELP YOU

Answer 2

Step-by-step explanation:

p(x) = 2+2+3x+5k

p(0) = 2+2+3(0)+5k

0 = 2+2+0+5k

0 = 4+5k

- 4 = 5k

k = - 4/5

SO k = - 0.8

full step by step solution. hope it helps