CPM Homework Help : CCA2 Problem 8-57

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Home > CCA2 > Chapter Ch8 > Lesson 8.1.3 > Problem 8-57

8-57.

The $x$ -intercepts of a quadratic polynomial are given below. Find a possible quadratic equation in standard form.

$x =\frac { 3 } { 4 }$ , $x = -2$
Hint (a):
Work backwards: Use the Zero Product Property to write an equation in factored form,
then multiply to write the equation in standard form.
Answer (a):
$y=(4x-3)(x+2)$
$y=4x^2+5x-6$

$x = −\sqrt { 5 }$ , $x =\sqrt { 5 }$
Hint (b):
Work backwards as was suggested in part (a).
Answer (b):
$y=x^2-5$

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