TOPIC 15 REVIEW ON FACTORING AND SOLVING
QUADRATICS
Difference of Perfect Squares
ax 2  bx  c  0
2
a) 4x  12x  9  0
Trinomial
a2 x 2  b2  0
a) 4x  9  0
2
b) 2x  5x  3
2
b) 25x  1  0
2
1.
x 2  36  0
2. 16x
2
 25  0
3.
81x 2  49  0
4.
9x 2  16
1.
2x 2  3x  5  0
2.
3x 2  7x  2
3.
3x 2  x  2
4.
2x 2  7x  4
x 2  bx  c  0
2
a) x  13x  36  0
Simple Trinomial
Greatest Common Factor GCF
a) 8x  4x  4
2
b) x  4x  12
2
b) x  12  8x
2
1.
x 2  10x  25  0
1.
3x 2  24x  21  0
2.
x 2  4x  32  0
3.
x 2  7x  6  0
2.
2x 2  5x  12  0
4.
x 2  3x  10
3.
81x 2  36  0
TOPIC 15b REVIEW ON SOLVING QUADRATICS BY
FORMULA
1.
x 2  8x  14  0
b  b 2  4ac
2a
b  b 2  4ac
x
2a
or
x
b  b 2  4ac
x
2a
Recognize a, b, and c values, use quadratic formula
a)
b)
2.
5x 2  2x  1  0
3.
2x 2  8x  5
4.
2x 2  5x  8
x 2  2x  5
x 2  8  4x