Factor out the GCF.
1) \(4x^2-20x\)
2) \(49x^3-28x^2+7x\)
3) \(-24x^2-6x\)
Factor the following expressions completely.
4) \(x^2+9x+14\)
5) \(x^2+3x-18\)
6) \(x^2-11x+10\)
7) \(x^2-5x-36\)
8) \(2x^2+11x+5\)
9) \(7x^2-22x+3\)
10) \(3x^2-3x-90\)
11) \(2x^2+13x+6\)
12) \(15x^2-20x-20\)
13) \(2x^2+x-10\)
14) \(6x^2-17x-3\)
15) \(16x^2+28x-60\)
16) \(9x^2-30x+25\)
17) \(16x^2+8x+1\)
18) \(2x^2-24x+72\)
19) \(12x^2+36x+27\)
20) \(6x^2-7x-20\)
21) \(x^2-16\)
22) \(x^2-64\)
23) \(16x^2-49\)
24) \(162x^2-2\)
25) \(5x^2-125\)
26) \(-9x^3-15x^2+6x\)
27) \(20x^3-10x^2-10x\)
28) \(-6x^3-32x^2+24x\)
Review
29) Graph the function \(g(x)=2(x-7)(x-3)\). Use the graph of \(g(x)\) to identify each of the following:
a) Vertex
b) Axis of Symmetry
c) X-intercepts
d) Domain and Range
30) Use the function \(f(x)=2x^2+4x-6\) to identify the following (without graphing):
a) Vertex
b) Domain and Range
c) Factor \(f(x)\) completely. How would the factors help you to graph \(f(x)\)?
Solution Bank
1) \(4x^2-20x\)
2) \(49x^3-28x^2+7x\)
3) \(-24x^2-6x\)
Factor the following expressions completely.
4) \(x^2+9x+14\)
5) \(x^2+3x-18\)
6) \(x^2-11x+10\)
7) \(x^2-5x-36\)
8) \(2x^2+11x+5\)
9) \(7x^2-22x+3\)
10) \(3x^2-3x-90\)
11) \(2x^2+13x+6\)
12) \(15x^2-20x-20\)
13) \(2x^2+x-10\)
14) \(6x^2-17x-3\)
15) \(16x^2+28x-60\)
16) \(9x^2-30x+25\)
17) \(16x^2+8x+1\)
18) \(2x^2-24x+72\)
19) \(12x^2+36x+27\)
20) \(6x^2-7x-20\)
21) \(x^2-16\)
22) \(x^2-64\)
23) \(16x^2-49\)
24) \(162x^2-2\)
25) \(5x^2-125\)
26) \(-9x^3-15x^2+6x\)
27) \(20x^3-10x^2-10x\)
28) \(-6x^3-32x^2+24x\)
Review
29) Graph the function \(g(x)=2(x-7)(x-3)\). Use the graph of \(g(x)\) to identify each of the following:
a) Vertex
b) Axis of Symmetry
c) X-intercepts
d) Domain and Range
30) Use the function \(f(x)=2x^2+4x-6\) to identify the following (without graphing):
a) Vertex
b) Domain and Range
c) Factor \(f(x)\) completely. How would the factors help you to graph \(f(x)\)?
Solution Bank