Uploaded by dylanhartley80

Math 10C Polynomial Review Worksheet

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Name:__________________
Math 10 C
Feel free to answer the following on a blank sheet of paper.
#1. Distribute the following expressions
a) 5(2x +1)
b) -4(-2y - 9)
c)
d) x(5x +1)
e)
f) 3z(8 - z2 )
g) 3x(9x3 - 3x2 + 2x)
f) 5b(9b2 - 8b+10)
i) 3x2 y(12x + 9 y)
2x(10x - 9)
4(5- 3x)
h) -3q(4q5 + 8q2 -10)
j) 8xy(5x2 - 4 y2 +10) k) 2ab(5x2 +10a + 9bx)
#2. Simplify the following expressions into standard form
a)
(x + 9) + (x - 2)
b)
(3y +12) - (2y - 3)
c) (-6z- 9) - (-3z- 8)
d) (3w2 - 9w+15) - (2w2 -10w-10)
e) (a2 + 9a - 8) + (a2 -10a +10)
f) (8t 2 - 2t +11) - (5t 2 +14t + 6)
g) 2(x2 -1) + 3(2x2 + 8)
h) 5x(3x +10) - 4(3x2 + 4x)
i) 8x(2x2 + 3x +1) + x(4x2 - 4x + 2)
j) 5xy(10x2 + 9 y + 8) - (25x3 y + 20xy2 - 3)
#3. Factor out the Greatest Common Factor.
a)
(5x - 50)
d) (9k 2 -18k)
g) (25m4 + 50m3 - 75m2 )
b) (24 - 8x)
e) (20 p8 -10 p5 )
c) (10x2 + 25)
f) (x3 + 9x2 + 21x)
h) (12x3 y2 + 9x2 y3 + 24xy)
i) (3x7 y4 + 6x5 y5 - 9x3 y4 ) + (21h4 j 2 + 42h3 j)
j) (3 j 4 m2 + 6 j 3m3 - 9 j 2 m4 ) - (35 f 2 - 70 f )
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