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Adding and
subtracting
Polynomials
Chapter 8
Vocabulary
Multiplying
Polynomials
Solving
Equations
Factoring
Potpourri
100
100
100
100
100
100
200
200
200
200
200
200
300
300
300
300
300
300
400
400
400
400
400
400
500
500
500
500
500
500
Add:
2
(x +
4x) +
2
(2x
– 4x)
A 100
2
3x
A 100
Add:
2
(8x
+ 2x -
2
3)+(5x
– 7x + 6)
A 200
2
13x
– 5x + 3
A 200
Subtract:
3
(12x
+ 10) –
3
(18x
–
2
3x
+ 6)
A 300
3
-6x
+
2
3x
+4
A 300
Add:
3
(8x
+
2
4x
+ 3x – 7) +
2
(2x
– 6x + 4)
A 400
3
8x
+
2
6x
– 3x - 3
A 400
Simplify completely:
(7x3 + 3x2 - 5x) + (-2x2 + 8x – 4) – (3x3 + 4x – 7)
A 500
4x3 + x2 – x + 3
A 500
The coefficient of the
term with the highest
degree in a polynomial
B 100
What is the leading
coefficient?
B 100
A polynomial
with only one
term.
B 200
What is a monomial?
B 200
Another name for
the highest
exponent for a
term in a
polynomial.
B 300
What is the
degree?
B 300
The method for factoring
polynomials of the form
2
ax
+bx +c, where a is not
equal to 1.
B 400
What is the Slide &
Divide Method?
B 400
An equation written
in descending order
according to the
variables’
exponents is written
in this form.
B 500
What is standard form?
B 500
Multiply:
2
4x(2x – 3x + 4)
C 100
3
8x
–
2
12x
+ 16x
C 100
Multiply:
(x + 4)(x + 5)
C 200
2
x
+ 9x + 20
C 200
Multiply:
(2x + 3)(3x – 4)
C 300
2
6x
+ x - 12
C 300
DAILY
Place A Wager
DOUBLE
C 400
Multiply:
(3x – 4)(2x – 8)
C 400
2
6x
– 32x + 32
C 400
Multiply:
2
(2x – 1)(3x + 5x – 7)
C 500
3
6x
+
2
7x
– 19x + 7
C 500
Solve:
(x + 2)(x – 6) = 0
D 100
x = -2, x = 6
D 100
Solve:
(2x + 5)(3x – 6) = 0
D 200
x = -5/2, x = 2
D 200
Solve:
2
x
– 3x – 18 = 0
D 300
x = 6, x = -3
D 300
Solve:
2
x
+ 5x = 50
D 400
x = -10, x = 5
D 400
Solve:
2
3x
– 4 = -x
D 500
x = - 4/3, x = 1
D 500
Factor:
2
x
+ 6x + 8
E 100
(x + 4)(x + 2)
E 100
Factor:
2
x
– 9x + 20
E 200
(x – 4)(x – 5)
E 200
Factor:
2
x
+ 6x – 27
E 300
(x + 9)(x – 3)
E 300
Factor:
2
9x
- 25
E 400
(3x – 5)(3x + 5)
E 400
Factor:
2
6x
– 11x - 7
E 500
(2x + 1)(3x – 7)
E 500
Find the GCF and
factor it out of the
expression.
3
3x +
2
12x
– 9x
F 100
2
3x(x
+ 4x – 3)
F 100
Find the x-intercepts
for the equation
y = (x – 4)(x + 5)
(Remember, x-intercepts are when y = 0)
F 200
x = 4, x = -5
F 200
Factor
2
x
+ 6x + 9
F 300
(x +
2
3)
F 300
Solve:
2
4x
– 100 = 0
F 400
x = 5, x = -5
F 400
Find the GCF and then
factor the expression
completely.
3
2x
–
2
4x
– 70x
F 500
2x(x + 5)(x – 7)
F 500
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