Question

If x-2 is a factor of the polynomial p(x) , then the value of k is,where p(x) 2x^2+kx-15

Answer 1

EXPLANATION.

• GIVEN

x - 2 is a factor of polynomial p((x) = 2x^2 + kx -15

TO FIND VALUE OF K.

zeroes of the factor

x - 2 = 0

x = 2

put x = 2 in the above equation.

we get,

p(x) = 2x^2 + kx - 15

2(2)^2 + k(2) - 15 = 0

8 + 2k - 15 = 0

2k - 7 = 0

k = 7/2

Therefore,value of k = 7/2

Answer 2

Answer:

Value of k = 7/2

Step-by-step explanation:

we are given that x-2 is a factor of p(x)

so x-2=0

x=2

by putting value of x in p(x) we get,

2(2)^2 + k(2) - 15

= 4×2 +2k -15

= 8 + 2k -15

= 2k - 7 =0

2k = 7

k = 7/2

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