Solving Equations by Factoring and Graphing

Find the zeros of this quadratic.

• b=4/5, b=3

• b=4, b=-3

• b=1/5, b=3

• b=4/5, b=-3

Use the graph to determine the solutions.

• -1 and -3

• 1 and -3

• 1 and 3

• -1 and 3

Does this graph in the back have maximum or minimum value?

• maximum

• minimum

• neither

• both

The solutions of a quadratic equation are known as the _____.

• Vertices

• Roots

• Squares

• Formulas

Quadratic equations take the shape of a _______ when graphed.

• parabola

• straight line

• snaked line

• elliptical

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

How many solutions does this graph have?

• one

• two

• no solutions

• cannot be determined

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form

• Write down: a=1, b=6, c=-13

• Make it equal 0 by subtracting 3 on each side

• Type it all in a calculator.

Solve the following quadratic equation...

x² + 3x + 2 = 0

• x = -1

  x = -2

• x = 1

  x = 2

• x = -1

  x = 2

• x = 1

  x = -2

(n +7)(n + 9) = 0

• n = -7; n = 4

• n = 7; n = -9

• n = -3; n = 10

• n = -7; n = -9