Solve quadratics by factoring 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 solve a quadratic equation by factoring?

Back

Solving a quadratic equation by factoring involves rewriting the equation in the form (x - p)(x - q) = 0, where p and q are the solutions.

Tags

CCSS.HSA-REI.B.4B

Front

What are the steps to factor a quadratic equation?

Back

1. Write the equation in standard form (ax² + bx + c = 0). 2. Find two numbers that multiply to ac and add to b. 3. Rewrite the equation using these numbers. 4. Factor the equation.

Front

Solve by factoring: x² - 9 = 0

Back

x = 3 and x = -3

Tags

CCSS.HSA-REI.B.4B

Front

Solve by factoring: x² + 5x + 6 = 0

Back

x = -2 and x = -3

Tags

CCSS.HSA-REI.B.4B

Front

What are the 'zeros' of a quadratic function?

Back

The 'zeros' of a quadratic function are the values of x that make the function equal to zero, also known as the x-intercepts.

Tags

CCSS.HSF-IF.C.8A

CCSS.HSA-SSE.B.3B

Front

How do you find the zeros of a quadratic equation?

Back

To find the zeros, set the equation equal to zero and solve for x using factoring, completing the square, or the quadratic formula.

Tags

CCSS.HSA-REI.B.4B

Front

Solve by factoring: x² - 4x - 12 = 0

Back

x = 6 and x = -2

Tags

CCSS.HSA-REI.B.4B

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point on the graph of a quadratic function, depending on the direction of the parabola.

Front

Solve by factoring: x² + 7x + 10 = 0

Back

x = -2 and x = -5

Tags

CCSS.HSA-REI.B.4B