Factoring ax^2 + bx + c

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What does it mean to factor a quadratic expression?

Back

Factoring a quadratic expression means rewriting it as a product of two binomials.

Front

Solve the quadratic equation: 5x^2 - 28x + 32 = 0

Back

x = 4, 8/5

Tags

CCSS.HSA-REI.B.4B

Front

Factor completely: 3q^2 + 30q + 27

Back

3(q + 9)(q + 1)

Front

Which expression is in standard form? 6x - 4x^2 - 1, 9 - x + 7x^2, 10x^2 - 6

Back

10x^2 - 6

Front

Factor completely: 5v^2 - 30v + 40

Back

5(v - 4)(v - 2)

Front

What is a constant term in a polynomial?

Back

A constant term is a term in a polynomial that does not contain any variables, e.g., in 4x^2 + 7x - 1, the constant term is -1.

Tags

CCSS.6.EE.A.2B

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b^2 - 4ac)) / (2a), used to find the roots of a quadratic equation.

Tags

CCSS.HSA-REI.B.4B

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root, b^2 - 4ac, which determines the nature of the roots.

Tags

CCSS.HSA-REI.B.4B

Front

How do you identify the coefficients in a quadratic equation?

Back

In the equation ax^2 + bx + c, 'a' is the coefficient of x^2, 'b' is the coefficient of x, and 'c' is the constant term.