Therefore, the roots are –3 and 8.
4-3 Solving Quadratic Equations by Factoring
41.
SOLUTION:
Write the equation with right side equal to zero.
2
2
2
– b
= (a + b)(a – b) to factor x
– 4.
Use the identity a
Use the Zero Product Property.
Therefore, the roots are –2 and 2.
43.
SOLUTION:
Factor out –1.
2
Now factor 8x
– 46x + 30.
Here, a = 8, b = –46 and c = 30.
ac = 8(30) = 240
Find two factors of 240 whose sum is –46.
–40(–6) = 240 and –40 + (–6) = –46
Write –46x as –40x + (–6x).
Factor 8x from the first two terms and –6 from the last two terms.
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