Mathematics, 16.12.2019 11:31 cristabean87

Which of the following expressions is a factor of the polynomial x 2 + x - 1?
a) x -1/2
b) x - 2
c) x - 1
d) x + 3/2

Answers: 3

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Answer from: lareynademividp0a99r

This is not factorisable. None of the given options are its factors.

Step-by-step explanation:

We have been given with a polynomial x^2+x-1

In case A we will put x=1/2 since, we need to check (x-1/2) is factor or not of the given polynomial

After substituting x=1/2 in given polynomial we will get

$\frac{1}{2}^2+\frac{1}{2}-1$

After simplifying we will get $\frac{1}{4}+\frac{1}{2}-1$

After further simplification we will get $-\frac{1}{4}$

Option A is not factor of given polynomial since, value at x=1/2 does not satisfying the given polynomial means polynomial is not zero at x=1/2.

In case B we will put x=2 since, we need to check (x-2) is factor or not of the given polynomial

After substituting x=2 in given polynomial we will get

2^2+2-1

After simplifying we will get 4+2-1

After further simplification we will get

Option B is not factor of given polynomial since, value at x=2 does not satisfying the given polynomial means polynomial is not zero at x=2.

In case C we will put x=1 since, we need to check (x-1) is factor or not of the given polynomial

After substituting x=1 in given polynomial we will get

1^2+1-1

After simplifying we will get 1+1-1

After further simplification we will get

Option C is not factor of given polynomial since, value at x=1 does not satisfying the given polynomial means polynomial is not zero at x=1.

In case D we will put x=-3/2 since, we need to check (x+3/2) is factor or not of the given polynomial

After substituting x=-3/2 in given polynomial we will get

$\frac{-3}{2}^2-\frac{3}{2}-1$

After simplifying we will get $\frac{9}{4}-\frac{3}{2}-1$

After further simplification we will get $-\frac{1}{4}$

Option D is not factor of given polynomial since, value at x=-3/2 does not satisfying the given polynomial means polynomial is not zero at x=-3/2.

The given polynomial is not factorisable

Therefore, None of the options are correct.

Answer from: Quest

tube or goog would be a great resource to with that question

Answer from: Quest

javeir earned 56 dollors more than kyle so kyle and javier had 14w but javier made 56 dollors more so 14w plus 56 equals 70w so kyle has 14w

step-by-step explanation: hope i plz give me brainliest with the points so this is not constant cause it says last week so its clearly not every week

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Which of the following expressions is a factor of the polynomial x 2 + x - 1?
a) x -1/2

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