9.2-9.4 More Multiplying Polynomials

9.3/9.4 More Multiplying Polynomials

EQ: What do you have to do to solve when you have a binomial that is squared - for example (x-2)²

PUT YOUR 9.2 HW ON YOUR DESK

Multiple Choice

Has one term. It can be a number, letter, or product of letters and numbers

• Monomial

• Binomial

• Trinomial

Multiple Choice

Has many terms. They have special names such as binomials and trinomials

• Monomial

• Polynomial

• Binomial

Multiple Choice

These polynomials have two terms separated by a + or - sign.

Examples: x +3 7m+2n 4xy^2-3x2y

• monomial

• binomial

• trinomial

Multiple Choice

Terms that contain the same numbers, variables, and exponents

Example: 3a and 5a 3 and 5 3ab^2 and 5 ab^2

• same terms

• like terms

• twin terms

Multiple Choice

A letter used in math to represent a number that can change

• exponent

• constant

• variable

Multiple Choice

Simply.

$$-2\left(x^2+5x-4\right)$$  

• $$-2x^2-10x+8$$  

• $$2x^3+10x^2-8x$$  

• $$x^2+3x$$  

• $$6x^2-8x$$  

Multiple Choice

Simply.

$$2x\left(x^2+5x-4\right)$$  

• $$-2x^2-10x+8$$  

• $$2x^3+10x^2-8x$$  

• $$x^2+3x$$  

• $$6x^2-8x$$  

Multiple Choice

• 4

• 1

• 5

• 0

Multiple Choice

• 2

• 8

• 9

• 1

Multiple Choice

Write the polynomial in standard form:

• -c + 6c² +2c⁴

• 6c² + 2c⁴ - c

• -c + 2c⁴ + 6c²

• 2c⁴ + 6c² - c

Multiple Choice

Identify the degree and the leading coefficient of the polynomial:

• degree: 3

  leading coefficient: -4

• degree: 3

  leading coefficient: 8

• degree: 1

  leading coefficient: 8

• degree: 3

  leading coefficient: 4

Multiple Choice

• 7y + 10

• -3y + 2

• 3y + 10

• -7y + 2

Multiple Choice

• 2x² +19x +45

• 2x² + x + 45

• 2x² + x - 45

• 6x - 8

Multiple Choice

4x²(5x-1) 

• $$x^3+3x^2$$  

• $$x^3+3x^2+3x$$  

• $$8x^3-12x^2$$  

• $$20x^3-4x^2$$  

Square a Binomial

Make sure you WRITE IT TWICE - then you distribute and simplify

Multiple Choice

(x + 4)²

Hint: What does it mean to square a number or term

• x² + 16

• x² + 8x+ 16

• x² + 4 x + 8

• x² + 8

Multiple Choice

Multiply.
(x + 7)²

• x² + 7x + 7x + 49

• x² + 7x + 7

• 7x² + x + 7

• x² + 14x + 49

Multiple Choice

Find the product.

$$\left(x-2\right)\left(5x^2-3x+7\right)$$  

• $$36x^3-18x^2+26x-30$$  

• $$7x^3+57x^2+13x+40$$  

• $$5x^3-13x^2+13x-14$$  

• $$24x^3-4x^2-66x-24$$  

Multiple Choice

Find the product:
(2x+3)²

• 2x+3+2x+3

• 4x²+12x+9

• 4x²+9

• 16x²+9

Multiple Choice

(n² + 6n − 4)(2n − 4)

• 2n³ + 16n² − 32n + 16

• 2n³ + 8n² − 32n + 16

• 2n³ + 8n² − 12n + 16

• 2n³ + 8n² − 32n - 16

Homework

Page 126 #38 - 48 even (6 problems)

Page 134 #26 - 38 even (7 problems)