Grade 10 Pre-calc End of Year Revision - Factoring Quadratics (1)

What does product mean?

The result of multiplication

The first term is the product of…

x and x

The coefficient of the ______ ____ is the sum of _____

middle term , a and b

The ____ ____ is the product of _____

last term, a and b

When factoring x² + bx + c, look for 2 factors of c that…

multiply to the last term , and add to the coefficient of the middle term.

When the last term is positive, the factors of c are…

both positive, or both negative.

If the middle term is positive, both integers are…

positive.

If the middle term is negative, both integers are

negative.

For trinomial ax² + bx + c to be a perfect square, the last term must be…

positive, and a perfect square.

For trinomial ax² + bx + c to be a perfect square, the first term must be…

a perfect square.

The coefficient of the middle term is the…

square root of the first term multiplied by the square root of the coefficient of the last term, then doubled.

Whenever we see subtraction, two square terms only, and no term with degree one, we have the possibility of a…

difference of squares.

When a is greater than 1, you must…

multiply a and c.