tues, 1/31 swbat… multiply a monomial by a polynomial agenda 1. wu (10 min) 2. multiplying two...

Tues, 1/31

SWBAT… multiply a monomial by a polynomial Agenda

1. WU (10 min)

2. Multiplying two binomials (15 min)

Warm-Up:

1. Simplify: 3ab(5a2 – a – 2) + 2a(b + 1)

2. Solve: 5(9w + 2) = 3(8w – 7) + 17

3. Solve: 9c(c – 11) + 10(5c – 3) = 3c(c + 5) + c(6c – 3) – 30

HW#2: Multiplying two binomials

Multiply two binomials using FOIL method

(x + 2)(x + 3)

F L

O

= (x)(x)

F LIO

I

+ (x)(3) + (2)(x) + (3)(2)

= x2 + 3x + 2x + 6

= x2 + 5x + 6

To multiply two binomials, find the sum of the products

Multiply two binomials using FOIL method

To multiply two binomials, find the sum of the products of:

F the First terms O the Outer terms

I the Inner termsL the Last terms

(x + 3)(x + 2)

F L

I

O

Find each product:

1. (x + 4)(x – 2)

2.) (2y – 7)(3y + 5) = 6y2 – 11y – 35

3.) (4a – 5)(2a – 9) = 8a2 – 46a + 45

= (x)(x) + (x)(-2) + (4)(x) + (4)(-2)

= x2 – 2x + 4x – 8

= x2 + 2x – 8

F L

OI

Observations

The expression (x + 4)(x – 2) is read as “the quantity of x plus 4 times the quantity of x minus 2”

FOIL is a memory tool, the order in which the terms are multiplied is not important, as long as four products are found.

Notice that when the two linear expressions are multiplied, the result is a quadratic (degree 2).

Antonia is carpeting two of the rooms in her house. The dimensions are shown in the figures. What is the total area to be carpeted.

x + 3 x + 5

x – 2x

A rectangular prism has dimensions x, x + 2, 2x + 5. Find the volume of the prism in terms of x.

VOLLEYBALL

The dimensions of a volleyball court are represented by a width of 6y – 5 feet and a length of 3y + 4 feet.

(a) Write an expression that represents the area of the court.

(b) The length of a volleyball court is 31 feet. Find the area of the court.

Write an expression to represent the area of the shaded region.

2x + 5

x + 22x – 5

x – 2