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Factor as the product of two binomials. x 2 + 3 x − 4

Sagot :

PianoUkeMan

Answer:

[tex](x-1)(x+4)[/tex]

Step-by-step explanation:

Given:

[tex]x^2+3x-4[/tex]

The best way to write a polynomial with three terms as a product of binomials is to FACTOR!

The middle number is 3 and the last number is -4.

Factoring means we want something like

[tex](x+?)(x+?)[/tex]

We need two numbers that...

ADD together to get 3 and

MULTIPLY together to get -4

Test the numbers -1 and 4:

[tex]-1+4=3\\(-1)4=-4[/tex]

These are the right numbers! Now, I can write them as factored binomials!

[tex](x-1)(x+4)[/tex]

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