Polynomial In Standard Form Worksheet
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13.1-3.4 Review
Write each polynomial in standard form. Identify the leading coefficient, degree and number of terms.
1. 3x
+ 6x – 3x
+4
2
3
2. 2x – 5 + 3x – 2
3. 5x
– 3x
– x
5
3
4
4. 5x – 4 + 2x
-5x
2
5. 6 – 5x + 12x
+ 7x
+ 3x
– 7x
2
3
4
5
6. 3x – 2 – x – 2x
Add or subtract.
7. (3x
– 6x + 8) – (4x
+ 5x – 9)
8. (3x
+ 1) + (4x
+ 3)
9. (9x
– 6x
) – (2x
+ x
+ 2)
2
2
2
2
3
2
3
2
10. (5a
– a
) + (a
+ 7a
– 2)
5
4
5
4
Multiply.
11. 3x
(27x
+ 8y
)
12. 2cd
(-4c
d
– c
d)
13. (a + b)(3ab + b
)
14. (x – 2)(x + 4)
3
3
3
4
6
5
3
2
2
15. (x + 3)(x – 2)
16. x(x + 5)
17. (x – 3)
(x – 1)
2
2
18. Find a polynomial expression in terms of x for the volume of the rectangular prism shown.
Expand using Pascal’s Triangle.
19. (x + 4)
20.(x – 5)
21. (2x + 4)
22. (x – 3y)
4
3
4
3
Divide using long division.
23. (6y
+ 13y – 8) ÷ (2y – 1)
24. (3x
+ 11x
+ 11x + 15) ÷ (x + 3)
2
3
2
25. (5x + 6x
– 8) ÷ (x – 2)
26. (6a
+ 9a) ÷ (3a)
3
2
Divide using synthetic division
27. x
-13x – 48 ÷ (x + 3)
28. x
+ 5x
– 3x – 1 ÷ (x – 1)
2
3
2
– 3x - 10 (x – 2)
+ 3 (x – 1)
29. 3x
- 2x
30. x
4
2
2
Use synthetic substitution to evaluate the polynomial for the given value.
31. P(x) = x
+ 2x
– 5x + 6 for x = -1
32. P(x) = x
+ x
+ x – 6 for x = 2
3
2
4
2
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