Solving Quadratic Equations by Factoring
Directions: Name each quadratic equation by degree and
number of terms. Then solve by factoring.
1) x2 – 5x = 0
2) x2 + 2x – 15 = 0
3) x2 – 36 = 0
4) 2x2 +3x – 5 = 0 5) 35x2 – 9x – 2 = 0
6) x2 – 10x + 25=0 7) 9x3 +33x2 –12x = 0
8) 18x3 – 50x = 0 9) 5x4 – 5 = 0
10) 90x4 – 300x3 + 250x2 = 0
Identify what properties justify each step below.
11) 5 + (3 + 2) =
A) (5 + 3) + 2
B) 2 + (5+3)
C) 2 + (3 + 5)
D) (3+5) + 2
E) 3 + (5 + 2)
KEY
1) quadratic binomial; x = 0 or x = 5
2) quadratic trinomial; x = 3 or x = –5
3) quadratic binomial; x = 6 or x = – 6
4) quadratic trinomial; x = – or x = 1
5) quadratic trinomial; x = – or x =
6) quadratic trinomial; x = 5
7)cubic trinomial; x = 0, x = – 4 or x =
8) cubic binomial; x = 0 or x =
9) quartic binomial; x =
10) quartic trinomial; x =0 or
11) A: Associative Prop + B: Commutative Prop +
C: Commutative Prop +
D: Commutative Prop +
E: Associative Prop +