The factors of the polynomial 4x^2-7x-2 are: a) (4x+1)(x-2) b) (4x+1)(x+2) c) (4x-1)(x-2) d) (4x-1)(x+2)

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Answer 1

## Step 1: Find factors of

that add up to

### In the quadratic

, we have

,

, and

. Thus,

. We need to find two numbers that multiply to -8 and add up to -7. These numbers are -8 and 1, since

and

.## Step 2: Rewrite the middle term and factor by grouping### Rewrite the middle term

as

. The expression becomes

. Now, factor by grouping:

.## Step 3: Factor out the common binomial### Factor out the common binomial

to get

.

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