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Homework #19 Quadratics Review
EXPANDING
Find the product.
1. (x + 5)(x + 7)
4. (x + 9)2
7. (x + 10)(x – 10)
2. (2x + 5)(x – 7)
5. (x – 3)(x – 8)
8. (x – 11)2
3. x(x + 15)
6. (3x + 2)(4x – 3)
9. 3x(x – 3)
13. x2 – 12x + 36
16. x2 – 16
11. x2 + 11x – 42
14. x2 – 3x – 4
17. x2 + 6x + 9
12. x2 + 25x
15. x2 – 13x
18. 2x2 + 11x + 5
FACTORING
Factor the trinomial.
10. x2 + 5x – 24
SOLVING QUADRATIC EQUATIONS IN FACTORED FORM
Find the solutions to the quadratic equations.
1. (x + 5)(x + 12) = 0
3. (x – 9)(x + 1) = 0
2. x (x – 23) = 0
4. x(x + 6) = 0
5. (2x + 1)(x – 3) = 0
6. (3x – 5)(5x + 6) = 0
SOLVING QUADRATIC EQUATIONS
Solve the quadratic equation by factoring.
7. x2 – 8x + 15 = 0
9. x2 + 2x – 8 = 0
8. x2 + 13x + 12 = 0
10. x2 – 8x – 10 = 10
11. 2x2 – 7x + 3 = 0
12. x2 + 34x = 0
FINDING X-INTERCEPTS
Factor the quadratic function to find the x-intercepts.
13. f(x) = 3x2 – 4x – 4
15. f(x) = 9x2 – 36
14. f(x) = x2 – 81
16. f(x) = x2 – 12x +36