Math II
Name: _____________________________
Date: __________________
Factoring Worksheet (Factor by Grouping, review trinomials, GCF and Difference of Squares)
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Math II
Name: _____________________________
Date: __________________
Factoring Worksheet (Factor by Grouping, review trinomials, GCF and Difference of Squares)
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Factor the Expression
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Applications
15) A rectangle has an area given by A =
. Find expressions for the possible
length and width of the rectangle.
16) Find the area of the shaded region shown below. The area of the rectangle is
and the area of the circle is
. Write the area in factored form.
Math II
Name: _____________________________
Date: __________________
Factoring Worksheet (Factor by Grouping, review trinomials, GCF and Difference of Squares)
Factor the polynomial or state that it is prime
17) x2 – 16
18) x2 – 4
19) x2 – 64
20) d2 – 49
21) x2 – 1
22) 4x2 – 25
23) 4x2 – 9
24) 9x2 – 49
25) 9x2 – 16
26) 25a2 – 36
27) 25j2 – 81
28) 81r2 – 4
Math II
Name: _____________________________
Date: __________________
Factoring Worksheet (Factor by Grouping, review trinomials, GCF and Difference of Squares)
Review – Factor the trinomials (x2 + bx + c)
29) x2 – 4x + 3
30) x2 + 4x – 5 ________________
________________
31) a2 – 22a + 72
32) y2 – 2y – 20________________
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33) 5x2 – 180
34) 7x3 – 7x
35) 11a3 – 11a
36) 3x2 – 27y3
37) x3y – xy3
38) 6x2 – 48x + 96
39) 7x2 – 70x + 175
40) 9b2 + 72bc + 144c2
41) 3ax2 + 36ax + 60a