AAC #1 Factoring and Solving Quadratics

Front

To factor a trinomial, where a = 1:
ax² + bx + c

Back

Find 2 factors of c that add or subtract to equal b

Front

To factor a trinomial where a is not equal to 1:

ax² +bx + c

Back

multiply a times c and find the factors of this product that add or subtract to equal b. **You must divide your factors by a.

Front

To factor a difference of squares:
x² - c²

Back

Both terms must be perfect squares: find the root of each and separate into 2 factors

( x + c ) ( x - c) 

Front

Factor: 25x² - 100y²

Back

( 5x - 10y) (5xy + 10y)

Front

What is the first step in factoring?

Back

ALWAYS look for a GCF

Front

To find the solutions

Back

factor first and take the opposite (set equal to zero)

Front

What do the "Zeros" represent on a quadratic equation graph?

Back

x-intercepts

Front

Solve by taking square roots:

Back

You must isolate the variable and solve it algebraically. **Remember the √ (square root) is the opposite operation from ² (squaring)

Front

What is standard form of a quadratic Equation?

Back

Ax² + Bx + C = 0

Front

True or false: The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.

Back

True