Factor completely 3x² − x − 4.
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Step-by-step explanation:

This is in the form .

If your wish is to factor by grouping, then you goal is too look for two numbers that multiply to be and adds up to be .

Then once you find those numbers you replace b with those numbers.  Then the factor by grouping can be done.

So you have

The numbers that we need are already present since -4+3 is -1.

So replace -1 in

with (-4+3)

Now group the first two terms together and group the last two terms together:

Factor what you can from both pairs:

Notice you have two terms: x(3x-4)  and 1(3x-4).  These terms have a common factor of (3x-4) so factor that out of our expression like so:

Check with foil if you like:

First: 3x(x)=3x^2

Outer: 3x(1)=3x

Inner: -4(x)=-4x

Last: -4(1)=-4

----------------------Add together:

3x^2-x-4

Step-by-step explanation:

Given the polynomial

We can observe that it is written in this form:

To factor completely, we need to follow these steps:

- Rewrite the term "b" as the sum of two terms whose product be and whose sum be -1:

- Applying Distributive property, we get:

- Make two groups of two terms each:

- Factor out "x" from the first group and 1 from the second group:

- Factoring out , we get:

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step-by-step explanation: