Multiplying Polynomials
1.
a. When multiplying polynomials, you should multiply each term of the first
polynomial to each term of the second polynomial and then
______________________.
b. If P is equal to a second degree polynomial and Q is equal to a third degree
polynomial, what is the degree of P + Q?
c. If P is a second degree polynomial and Q is a third degree polynomial, what
is
the degree of P multiplied by Q?
d. The method that shows you how to multiply two polynomials is known as the
__________ method.
e. If you subtract 5x2– 4x + 6 from 3x2- 2x + 8 what is left?
2.
a. If the length of a rectangle is x + 9 and the width is x + 2, what is the
formula
for the area in terms of x?
b. The area of a circle is πr2 where r is the radius and π is an irrational
number
equaling close to 3.14. What is the area of the circle if r is equal to 7?
c. A rectangle has sides equaling y + 4 and y - 2, what is the area in terms of
y?
d. The area of a circle is πr2 where r is the radius and π is an irrational
number
equaling close to 3.14. What is the area of the circle if r is equal to 3.5?
e. If P = 2x + 3 and Q = 4x + 5, what is P multiplied by Q?
3.
a. What is the area of a square with sides equaling x + 6 in terms of x? What is
the area if x equals 4?
b. What is the volume of a cube in terms of x if the sides are equal to ( x + 1
)?
c. What is the volume of a cube in terms of x if the sides are equal to ( x - 1
)?
d. The height of a box is 3 less than its length and the length is 5 more than
its
width. Express the volume in terms of length L.
e. What is ( x2 + 2)2 ?
