Algebra II Trig S1- Multiplication of Polynomials Assignment

What value of n makes the statement true? 6xn · 4x2 = 24x6 n =

n = 4

What value of t makes the statement true?(4x3 + 5)(2x3 + 3) = 8x6 + tx3 + 15 t =

t = 22

What value of k makes the statement true?xky4(2x3 + 7x2y4) = 2x4y4 + 7x3y8 k =

1

Use FOIL to explain how to find the product of(a + b)(a − b). Then describe a shortcut that you could use to get this product without using FOIL.

Multiply the first, outside, inside, and last terms of the binomials. Multiply a times a, a times -b, b times a, and b times -b. This is the same as just squaring a and squaring b. A shortcut is to add a squared and b squared.

Which of the following is equivalent to (p3)(2p2 - 4p)(3p2 - 1)? (p3)(6p4 - 12p3 - 2p2 + 4p) (p3)(6p4 + 4p) (2p6 - 4p3)(3p2 - 1) (2p5 - 4p4)(3p5 - p3)

a ) (p3)(6p4 - 12p3 - 2p2 + 4p)

Select the word or number that correctly completes each sentence. When simplified completely, the product of a monomial and a monomial is ____ a monomial. When simplified completely, the product of a monomial and a binomial is _____ a trinomial. When simplified completely, the product of a binomial and a binomial is ______ a monomial. Before being simplified completely, the product of a binomial and a trinomial has ____ terms.

a ) always b ) never c ) never d ) 6

Multiply (x4 + 1)(3x2 + 9x + 2) x4 + 3x2 + 9x + 3 3x6 + 9x5 + 2x4 + 3x2 + 9x + 2 3x7 + 9x6 + 2x5 3x8 + 9x4 + 2x4 + 3x2 + 9x + 2

b ) 3x6 + 9x5 + 2x4 + 3x2 + 9x + 2

The volume of a cylinder is given by , where r is the radius of the cylinder and h is the height. Which expression represents the volume of this can?

c

Find the product. -8x5y2 · 6x2y -8x10y2 -8x7y3 -48x7y3 -48x10y2

c ) -48x7y3

Multiply (2x2 + 4x - 3)(x2 - 2x + 5)

c ) 2x4 - x2 + 26x - 15

What is the product of (p3)(2p2 - 4p)(3p2 - 1)? 6p7 + 4p4 6p7- 2p5 - 12p5 + 4p3 6p7 - 12p6 - 2p5 + 4p4 6p12 - 14p6 + 4p3

c ) 6p7 - 12p6 - 2p5 + 4p4

Find the product. (3a4 + 4)2 6a4 + 8 9a8 + 16 9a8 + 24a4 + 16 9a16 + 24a4 + 16

c ) 9a8 + 24a4 + 16

What value of c makes the statement true?-2x3(cx3 + x2) = -10x6 - 2x5 c =

c = 5