Quadratic Equations And Graphing And Intercept Form Worksheets Page 3

�� ( �� ) = ��(�� − ��)(�� − ��)

The general form for factored form or intercept form is

where p and q are the x intercepts.

Ex. 4 Identify the zeros of �� ( �� ) = ( �� + 2 )( �� − 5 )

Ex. 5 Identify the zeros of �� = (�� − 6)(�� − 6) ________________________

___________________

Ex. 6 Write a quadratic function in factored form with zeros of 2 and -1.

Ex. 7 Write the answer to Ex. 6 in standard form. How can you do that? (Multiply out)

Ex. 8 Write in standard form a quadratic function with zeros of 7 and 4.

Remember you are finding the zeros of the function which is where y=0. So you can write this

equation 0= (x-p)(x-q) and SOLVE using the ZERO PRODUCT PROPERTY

(x-p)(x-q)=0,

then

x-p=0

x-q=0

So if

Ex 9: ( �� − 3 )( �� + 2 ) = 0

EX 10: ( 2�� − 5 )( 3�� + 1 ) = 0

Solve for zeros:

Ex 11: 4 ( �� − 3 )( 2�� + 4 ) = 0

EX 12: 3�� ( 2�� + 5 ) = 0

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