Factoring and Solving Quadratic Equations Review

Front

What is the standard form of a quadratic equation?

Back

ax² + bx + c = 0

Front

True or False: All quadratic expressions are factorable.

Back

False

Front

Factor the expression x² - 6x - 40.

Back

(x - 10)(x + 4)

Front

Convert x² - 6x + 9 to factored form and identify the solution.

Back

(x - 3)(x - 3); x = 3

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Front

True or False: When factoring using the 'ac' method, your FIRST step is to multiply the 'a' value and 'c' value and look to see what factors of that product add together to get the middle bx term.

Back

False

Front

What does the 'a' in a quadratic equation ax² + bx + c represent?

Back

The coefficient of x², which determines the parabola's direction and width.

Tags

CCSS.HSF-IF.C.7A

Front

What is the vertex form of a quadratic equation?

Back

y = a(x - h)² + k, where (h, k) is the vertex.

Front

What is the quadratic formula used for?

Back

To find the solutions of a quadratic equation: x = (-b ± √(b² - 4ac)) / (2a).

Tags

CCSS.HSA-REI.B.4B

Front

What is the discriminant in a quadratic equation?

Back

The value b² - 4ac, which determines the nature of the roots.

Tags

CCSS.HSA-REI.B.4B

Front

How do you determine if a quadratic equation has real solutions?

Back

If the discriminant (b² - 4ac) is greater than or equal to zero.

Tags

CCSS.HSA-REI.B.4B