Page 84 - Math Course 2 (Book 1)

Degree of a Polynomial

3
3
2
4
Arrange a + ax – 2a xy – 9x4y so that the Arrange 3 + 2xy + 4x yz – x so that the powers
2
3
4
powers of x are in descending order. of x are in ascending order.
2
4
3
3
a + ax – 2a xy – 9x4y A. 4x yz – x + 2xy + 3
3
2
4
0
4
4
3 1 3
1 2
1
= a + a x – 2a x y – 9x y x = 1 and x = x B. 2xy + 3 + 4x yz – x 2
3
4
3
2
C. 3 + 4x yz – x + 2xy 4
3
2
4
D. 3 + 2xy – x + 4x yz
3 4
2
3
4
–9x y + ax – 2a xy + a
Answer
4 > 2 > 1 > 0 Answer
Your Turn!
Degree of a Polynomial Arrange Polynomials in Descending Order
2
3
2
4
Find the degree of 11ab + 6b +2ac – 7. Arrange 3x + 4x – x + 2 so that the powers of x
are in descending order.
A. 3
2
B. 2 A. 2 – x + 3x + 4x4
3
4
3
2
C. 0 B. 4x + 3x – x + 2
2
3
D. 1 C. –x + 2 + 3x + 4x 4
3
4
D. 4x + 3x + 2 – x 2
Answer
Answer
2 2
2
3
Find the degree of 3r + 5r s – s .
A. 0
B. 2
3 2
3 2
5
5
C. 4 Arrange 2y – 7y x – 8x y + 3x so that the
D. 3 powers of x are in descending order.
5
3 2
3 2
5
Answer A. 2y – 7y x – 8x y + 3x
3 2
3 2
5
5
B. 3x + 2y – 7y x – 8x y
3 2
5
3 2
C. 3x – 8x y – 7y x + 2y 5
5
2
3 2
5
3 2
3
Find the degree of 2x yz – x yz . D. – 7y x + 2y – 8x y + 3x 5
A. 0 Answer
B. 2
C. 7
D. 3
Answer
Arrange Polynomials in Ascending Order
2
4
Arrange 6x – 3x – 2x + 1 so that the powers of x are in ascending order.
4
2
A. –3x – 2x + 6x + 1
2
B. 1 – 2x + 6x – 3x 4
4
2
C. –3x + 6x – 2x + 1
2
D. 1 + 6x – 2x– 3x 4
Answer
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