PoLyNoMiAlS
YES or NO: Is each of these a polynomial?
____________1.
4 x 2  8 x  13
____________5.
7a 5  2b 4  3c 6
____________2.
3x 5 y 4  2n 3 p 8  6r 2
____________6.
7 x  5 2 x 1  3
____________3.
2x 5  3 x  9
____________7.
8 g 4 k 13  7t 5 e11
____________4.
5
2
 2
2
x
y
____________8.
1
2
n 3  23 n 2  75 n  14
Is each of these a monomial, a binomial, or a trinomial?
__________________________9.
7 n 5 r 3  8n 8
__________________________10. x 2  3 x  2
__________________________11. 2 x 2 y 11 z
__________________________12. 3n 5
__________________________13. 8e  2
__________________________14. 5 x 4  7 x 13  11x 7
How many terms does each polynomial have?
____________15.
2 y 4  7 y 3  8 y 2  3 y  11
____________18.
12c 2 d  3d 5 x  2n 4 h  3
____________16.
4 x 2 y13 z 2  9 x 5 y11 z
____________19.
4  5e 2 g  2 j 2  6 x  13k 5
____________17.
x14  2 x13  5 x12  3x11  2 x10  5 x 9  7 x 8  x 7  3x 6  11x 5  2 x 4  7 x 3  5 x 2  8 x  9
What is the degree of the first term of each polynomial?
____________20.
2 y 4  7 y 3  8 y 2  3 y  11
____________23.
12c 2 d  3d 5 x  2n 4 h  3
____________21.
4 x 2 y13 z 2  9 x 5 y11 z
____________24.
4  5e 2 g  2 j 2  6 x  13k 5
____________22.
x14  2 x13  5 x12  3x11  2 x10  5 x 9  7 x 8  x 7  3x 6  11x 5  2 x 4  7 x 3  5 x 2  8 x  9
What is the degree of the second term of each polynomial?
____________25.
2 y 4  7 y 3  8 y 2  3 y  11
____________28.
12c 2 d  3d 5 x  2n 4 h  3
____________26.
4 x 2 y13 z 2  9 x 5 y11 z
____________29.
4  5e 2 g  2 j 2  6 x  13k 5
____________27.
x14  2 x13  5 x12  3x11  2 x10  5 x 9  7 x 8  x 7  3x 6  11x 5  2 x 4  7 x 3  5 x 2  8 x  9
What is the overall degree of each polynomial?
____________25.
2 y 4  7 y 3  8 y 2  3 y  11
____________28.
12c 2 d  3d 5 x  2n 4 h  3
____________26.
4 x 2 y13 z 2  9 x 5 y11 z
____________29.
4  5e 2 g  2 j 2  6 x  13k 5
____________27.
x14  2 x13  5 x12  3x11  2 x10  5 x 9  7 x 8  x 7  3x 6  11x 5  2 x 4  7 x 3  5 x 2  8 x  9
Use these polynomials for the problems below.
A.
B.
x 6  2 x 5  3x 4  4 x 3  5 x 2  6 x  7
7 p 2q3  5 p5q 4  2 p6q 2
C.
5a 5b 3  4a 3b 5  7b 8  7ab 7
____________30.
How many terms are there in polynomial “A”?
____________31.
What is the second term of polynomial “C”?
____________32.
What is the third term of polynomial “B”?
____________33.
What is the coefficient of the first term of polynomial “C”?
____________34.
What is the coefficient of the fourth term of polynomial “A”?
____________35.
Which of these polynomials——“A”, “B”, or “C”——would be called a trinomial?
____________36.
What is the degree of the second term of polynomial “C”?
____________37.
What is the degree of the second term of polynomial “A”?
____________38.
What is the degree of polynomial “B”?
____________39.
What is the degree of polynomial “C”?
____________40.
What constant appears in the polynomials above?