Therefore,
4-3 Solving Quadratic Equations by Factoring
Solve each equation by factoring.
39.
SOLUTION:
Find the factors of –24 whose sum is –5.
3(–8) = –24 and 3 + (–8) = –5
Write –5x as 3x + (–5x).
Factor x from the first two terms and –8 from the last two terms.
Factor x + 3 from the two terms.
Use the Zero Product Property.
Therefore, the roots are –3 and 8.
41.
SOLUTION:
Write the equation with right side equal to zero.
2
2
2
Use the identity a
– b
= (a + b)(a – b) to factor x
– 4.
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Use the Zero Product Property.