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Name the Polynomial(s) and give the highest degree
Adding or Subtracting Polynomials
Multiplying Binomials
Distributive Principle
Special Products of Binomials
100

4y + 7

What is a binomial and a first degree polynomial

100
(3x+5) + (4x+1)
7x + 6
100

(x+2)(x+3)

x2 + 3x + 2x + 6 = x2+5x+6

100
4(3x + 4)
12x + 16
100

(2x - 3)2

4x2 - 12x + 9

200

3x3

What is a monomial third degree polynomial

200
(6x-7) + (4x+5)
10x-2
200

(x-7)(x+2)

x2 + 2x - 7x - 14 = x2-5x-14

200
2(5x + 6)
10x + 12
200

(2x + 3)(2x - 3) =

4x2 -9

300

4x2 + 5x + 6

What is a trinomial and a second degree polynomial

300
(5x-7) - (8x-2)
-3x - 5
300

(2x+4)(x-8)

2x2 - 16x + 4x - 32 = 2x2-12x-32

300
6(x+12)
6x+72
300

Use one of the special product rules to describe in words how to find the coefficient of xy in the product (5x - 3y)2

Multiply the coefficient of x in the binomial and the coefficient of y in the binomial. Then multiply the product by -2. The coefficient of xy in the product is -2(5)(3) = -30.

400

7

What is a monomial and a zero degree polynomial

400
(5x-3) + (4x+7) + (2x-6)
11x-2
400

(x-4)2

(x-4)(x-4) = x2 - 4x - 4x = 16x2-8x+16

400
4(3x-y+5)
12x-4y+20
400

DAILY DOUBLE: A square swimming pool is surrounded by a cement walkway with a uniform width. The swimming pool has a side length of (x - 2) feet. The side length of the entire square area including the pool and the walkway is (x + 1) feet. Write an expression for the area of the walkway. Then find the area of the cement walkway when x = 7 feet.

When x = 7 feet, the area of the walkway is 6(7) - 3 = 39 square feet.

500

9x 4 + 24x2 + 16x -15

What is a polynomial and a fourth degree polynomial

500
(6x-8) - (6x+8)
-16
500

What does the FOIL means?

What is First term, Outer term, Inner term, and Last term.

500
-3(2x-6)
-6x+18
500

Explain the Error. Marco wrote the expression (2x - 7y) 2 = 4x2 - 49y2 . Explain and correct his error.

Marco may have confused a difference of squares and the square of a binomial difference. He wrote the difference of the squares of the terms instead of square of a binomial difference. The correct product is 4x2 - 28xy + 49y2.