Basics of Factoring Quadratics

What is factoring?

• Process of finding factors of a number or expression

• Process of dividing a number or expression by another number or expression

• Process of multiplying two numbers or expressions

• Process of finding the square root of a number or expression

What is a quadratic equation?

• A quadratic equation is a polynomial equation with the highest power of the variable being 3.

• A quadratic equation is a second-degree polynomial equation in a single variable with the highest power of the variable being 2.

• A quadratic equation is a linear equation with two variables.

• A quadratic equation is an equation that does not involve any variables.

What is the standard form of a quadratic equation?

• ax^2 + bx = c

• ax^2 + bx + c = 0

• x^2 + bx + c = 0

• ax^2 + bx + c = 1

What is the constant term of a quadratic equation?

• x

• b

• a^2

• c

What are the different methods to factor a quadratic equation?

• Factoring by difference of squares, factoring by trial and error, and factoring by using the AC method.

• Factoring by grouping, factoring using the quadratic formula, and factoring by completing the square.

What is the difference of squares method for factoring quadratics?

• (a + b)^2

• (a + b)(a - b)

• (a^2 + b^2)

• (a^2 - b^2)

Which pair of the factors for number six are b addends?

X^2 + 7X + 6 = 0

• 3x2

• -3x2

• 6x1

• 6 x -1

Reorder how to solve for a X (variable)

• identify any terms next the X

  X + 5 = 15

• X = 10

• use inversed operation (if +, then use --)

  X + 5 ( - 5) = 15

• keep the equation balanced

  X + 5 ( - 5)= 15 ( - 5)