How do you write the function in standard form y=−(x+3)(x−4)?

1 Answer
Jim G.
Sep 3, 2016

−x2+x+12

Explanation:

We must ensure that each term in the 2nd bracket is multiplied by each term in the 1st bracket.
This can be done as follows. Leaving the - outside the brackets until after multiplication.

(x+3)(x−4)=x(x−4)+3(x−4)

now distribute the brackets and collect like terms.

=x2−4x+3x−12=x2−x−12

now go back and do multiplication by - 1

⇒−(x2−x−12)=−x2+x+12

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