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This comprehensive review is designed to prepare you for the factoring test in Advanced Algebra. Each problem will help you practice essential skills. Solve each problem and verify your answers by clicking the mouse for instant feedback. Topics covered include multiplication of polynomials, finding the greatest common factor (GCF), and solving quadratic equations. You'll encounter a variety of exercises including factoring expressions, solving for x, and understanding the importance of setting equations to zero. Let's sharpen those factoring skills!
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Adv. Algebra factoring review • This review should prepare you for the factoring test in Advanced Algebra. Read each problem , work out the answer, then check your answer by clicking on the mouse.
1. Multiply (x +4)(x2 - 4) • X3+ 4x2 - 4x -16
3. Multiply : 4x(3x-4)(2y+5) • 24x2y + 60x2 - 32xy - 80x
4. Factor: 6x2 + 12x • 6x(x+2)
5. Factor: 5x2 - 125 • 5(x+5)(x-5)
6. Factor: x2 + 8x + 15 • (x + 5)(x + 3)
7. Factor: 4x2 - 6x + 2 • 2(2x-1)(x-1)
8. Factor 8x3 -10x2-12x • 2x(4x+3)(x-2) , don’t forget to pull what’s in common out first
9. Factor: 2xy-10x+y-5 • (2x + 1)(y - 5)
10. Factor: 15x + 10 - 6x3 -4x2 • (5 - 2x2)(3x + 2)
11. Solve: (x+2)(x-3) = 0 • -2 and 3
12. Solve: x2 +4x - 5=0 • -5 and 1
13. Solve : x2 = 25 • 5 and -5
14. Solve: 2x2 + 5x = 3 • -3 and 1/2
15. What must you do to an equation first before you solve it? • Set it equal to zero (if it has a degree more than one)
16. What does factoring mean? • Break something up it into simpler parts • Write as multiplication of primes
What must you do first in ANY factoring problem? • Factor out Greatest Common Factor