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OPENING EXERCISE 46
NAME_______________________________________________________period ________
POLYNOMIALS
Write the polynomial in standard form. Find the degree of the polynomial.
3x 2  6x 4  7
1.
Classify the polynomial as monomial, binomial, or trinomial.
2x3 + 5
2.
Find the sum or difference.


3. 4x 2  x  3x3  2x3  4x 2  6



Find the product.
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


5. x  1 2x  4
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
6. 5x 2 2x 2  x  7
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
8. 4x  6
7. x  5 x  5
Factor and solve the polynomial
9. x 2  5x  6
Simplify:
x  10
11. 2
x  100

4. 3x  7x3  2x 2  4x3  5x 2  3
10. x 2  4x  12
12.
x 2  4x  4
x2

2

Solve the proportion.
13.
2x
2

x  3 10
14. Variables x and y vary directly. If y = 4 and x = 2, write an equation that relates x and y.
15. Variables x and y vary inversely. If y = 9 and x = 10, write an equation that relates x and y.
16.
17.
13in.
C
5m
5in.
b
4m
18.
Can the side lengths 5in., 3in, and 4in. form a right triangle?
19.
Find the distance and midpoint between the points ( 3 , -4 ) and ( 7 , -6 ).
20.
Find the surface area and volume.
5 in
5 in
2 in
10 in
4 in