80. 81. 82.
In Exercises 83 and 84, refer to the figure shown here.
83.Find a polynomial that represents the volume of the
cube (in cubic units).
84.If the value of xis 6, what is the volume of the cube
(in cubic units)?4 b + 14 b – 1x + 2 43 x + 15 x + 3x + 2Write each product as a sum of terms. Write answers with positive exponents only. Simplify
each term. See Section 1.8.87. 88.
Find each product. See Section 5.5.Subtract.See Section 5.4.
- x^5 +x^3 - 2 x^2 + 3
- 4 x^5 + 3 x^2 - 8
5 t^2 + 2 t- 6
5 t^2 - 3 t- 91 - 2 k+ 1218 k^2 + 9 k+ 32 1 x^2 - 2213 x^2 +x+ 42- 3 k 18 k^2 - 12 k+ 22 13 r+ 5212 r+ 12
1
4 y1 y^4 + 6 y^2 + 821
3 m1 m^3 + 9 m^2 - 6 m 21
5 x15 x^2 - 10 x+ 4521
2 p14 p^2 + 2 p+ 82PREVIEW EXERCISES
OBJECTIVES
Dividing Polynomials
5.7
1 Divide a polynomial
by a monomial.
2 Divide a polynomial
by a polynomial.OBJECTIVE 1 Divide a polynomial by a monomial.We add two fractions
with a common denominator as follows.
In reverse, this statement gives a rule for dividing a polynomial by a monomial.
a
c
+
b
c
=
a+b
c
340 CHAPTER 5 Exponents and Polynomials
Dividing a Polynomial by a Monomial
To divide a polynomial by a monomial, divide each term of the polynomial
by the monomial.Examples: and
x+ 3 z
2 y
=
x
2 y
+
3 z
2 y
2 + 5
3
=
2
3
+
5
3
1 cZ 02
ab
c
a
c
b
c
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