Solving Quadratic Equations by Factoring when a=1

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does it mean to factor a quadratic equation?

Back

Factoring a quadratic equation involves rewriting it as a product of two binomials, such as (x - p)(x - q) = 0, where p and q are the roots of the equation.

Tags

CCSS.HSA-REI.B.4B

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0.

Front

How do you solve a quadratic equation by factoring?

Back

To solve by factoring, rewrite the equation in standard form, factor it into two binomials, set each binomial equal to zero, and solve for the variable.

Tags

CCSS.HSA-REI.B.4B

Front

What are the roots of a quadratic equation?

Back

The roots of a quadratic equation are the values of x that make the equation equal to zero.

Tags

CCSS.HSA-REI.B.4B

Front

What is the relationship between the coefficients and the roots of a quadratic equation?

Back

For a quadratic equation ax² + bx + c = 0, the sum of the roots is -b/a and the product of the roots is c/a.

Tags

CCSS.HSA-REI.B.4B

Front

Solve: x² - 5x + 6 = 0

Back

x = 2, x = 3

Tags

CCSS.HSA-REI.B.4B

Front

Solve: x² + 7x + 10 = 0

Back

x = -2, x = -5

Tags

CCSS.HSA-REI.B.4B

Front

Solve: x² - 4 = 0

Back

x = 2, x = -2

Tags

CCSS.HSA-REI.B.4B

Front

Solve: x² + 3x - 10 = 0

Back

x = 2, x = -5

Tags

CCSS.HSA-REI.B.4B