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

he will have 300 because he is really broke and 300 is in his imangine

step-by-step explanation: he ehe heh step by the thy

Answer from: Quest

answer: it's upside down and i can't read it

step-by-step explanation:

Me with this . im really bad at these types of problems!

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You know the right answer?

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

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