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25 votes
How do i do this? i need to factor it conpletely with any method that goes with it​

How do i do this? i need to factor it conpletely with any method that goes with it-example-1
User Melissa Heying
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1 Answer

7 votes
7 votes
2x^2 - 7x + 3
Multiply the 2 in 2x^2 by the 3

Now we need to workout two numbers that
Multiply to get 2 * 3
Multiply to get 6
And add me to get -7

-6 * -1 = 6 and
-6 + -1 = -7

So
-6 and -1

Now we replace that with the -7x

2x^2 - 1x - 6x + 3

Now we factorise the 2x^2 - 1x
x(2x - 1)

And factorise - 6x + 3
-3(2x - 1)

Put it back together

x(2x - 1) -3(2x - 1)

The inside brackets are the same so we can eliminate

(x - 3) (2x - 1)
And that is the answer
User Igor Ralic
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2.6k points