Name the Polynomial(s) and give the highest degree
4y + 7
What is a binomial and a first degree polynomial
(x+2)(x+3)
x2 + 3x + 2x + 6 = x2+5x+6
(2x - 3)2
4x2 - 12x + 9
3x3
What is a monomial third degree polynomial
(x-7)(x+2)
x2 + 2x - 7x - 14 = x2-5x-14
(2x + 3)(2x - 3) =
4x2 -9
4x2 + 5x + 6
What is a trinomial and a second degree polynomial
(2x+4)(x-8)
2x2 - 16x + 4x - 32 = 2x2-12x-32
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.
7
What is a monomial and a zero degree polynomial
(x-4)2
(x-4)(x-4) = x2 - 4x - 4x = 16x2-8x+16
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.
9x 4 + 24x2 + 16x -15
What is a polynomial and a fourth degree polynomial
What does the FOIL means?
What is First term, Outer term, Inner term, and Last term.
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.