(Chapter 7 Vocabulary)
What is standard form?
Standard form is when the exponents of the terms decrease from left to right.
Solve the polynomial equation below. What does the x equal (there may be many solutions)?
(x-3)(x-9)=0
x=3,9
Factor Out the GCF
5x2+15x+10
5(x+1)(x+2)
DOUBLE JEOPARDY: Factor out the equation.
x2+8x+7
(x+1)(x+7)
What is a binomial?
A polynomial with two term is a binomial.
Solve the polynomial equation below. What does the x equal (there may be many solutions)?
2x(x-4)=0
x=0,4
Solve the equation. Factor each polynomial.
4x2+13x+3
(x+3)(4x+1)
Factor out the equation.
n2+8n+16
(n+4)2
What does factored form mean?
When a polynomial it is written as a product of factors.
Solve the polynomial equation below. What does the x equal (there may be many solutions)?
(x-1)2=0
x=1
Solve the equation. Factor each polynomial.
3x2-7x+2
(x-2)(3x-1)
Factor out the equation.
w2-4w+3
(w-1)(w-3)
What is the definition of Polynomial?
A polynomial is a monomial or a sum of monomials.
DOUBLE JEOPARDY: Solve the polynomial equation below. What does the x equal (there may be many solutions)?
(2x+7)(2x-7)
x=-7/2, 7/2
Solve the equation. Factor each polynomial.
2x2-5x-7
(x+1)(2x-7)
Factor out the equation.
-5m2+6m-1
-(5m-1)(m-1)
What is the definition of FOIL method?
A method of applying the Distributive Property, is a shortcut for multiplying 2 binomials.
Solve the polynomial equation below. What does the x equal (there may be many solutions)?
(x+1)(x-3)(x+1)=0
x=-1,3
Solve the equation. Factor each polynomial.
-4x2-8x+5
-(2x-1)(2x+5)
Factor out the equation.
4x2+32x+60
4(x+3)(x+5)