Question

if x = 1 is a zero of the polynomial F (x) = x^2 - 5x + k, then the value of k is :

Answer 1

Step-by-step explanation:

ANSWER

In the given polynomial f(x)=x

3

−2x

2

+4x+k, substitute x=1 as shown below:

f(1)=1

3

−(2×1

2

)+(4×1)+k=1−2+4+k=3+k

Therefore, f(1)=3+k.

Since it is given that x=1 is a zero of the polynomial f(x)=x

3

−2x

2

+4x+k, therefore f(1)=0 that is:

3+k=0

⇒k=−3

Hence k=−3.

Answer 2

Answer:

first put 1 in for X, then solve

F(1)=(1)2–5(1)+k

F(1)=2–5+k

F(1)=-3+k

1=-3+k

*add the opposite of -3 to each side

4=k

hope it helps.

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