Question

Determine if x-1 and x+1 are factors of the following polynomial

1). p(x)=x^2-x+2
2). p(x)=2x^2-x-1
3). p(x)=2x^2+3x+1
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Answer 1

Step-by-step explanation:

if x=1

(I) (1)^2-(1)+2

1-1+2

0+2

2

if x=-1

2(-1)^2-(-1)+2

2+1+2

5

(2)

if x= 1

2(1)^2-(1) -1

2-1-1

2-2

0

if x= -1

2(-1) -(-1) -1

-2+1-1

-2+0

-2

(3)

if x=1

2(1) ^2+3(1) +1

2+3+1

6

if x=-1

2(-1)^2+3(-1) +1

2-3+1

-1+1

0

so x+1 is a factore of 2x^2+3x+1

and x-1is a factore of 2x^2-x-1