SOLUTION: Show all work. Be sure to answer both part A and B to the following questions. Part A, Which of the following is a polynomial equation? a.6x^2 + x + 2 = (6x-2)(x+4) b.(5x-1

Question 1180262: Show all work. Be sure to answer both part A and B to the following questions.
Part A, Which of the following is a polynomial equation?
a.6x^2 + x + 2 = (6x-2)(x+4)
b.(5x-1)^2 = 25x^2 + 1
c.9(4a^2 - 4ab + b^2) = (6a - 3b)^2
d.(7x + 2)(x - y) = 7x(x - y) - 2y
Part B, Which expression is not equivalent to 16x^4 - y^4?
a.(2x-y)(2x+y)(4x^2 + y^2)
b.(2x)^4 - (y)^4
c.4x^2(4x^2 - y^2) + y^2(4x^2 - y^2)
d.(2x-y)(8x^3 + y^3)
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
recall:
A polynomial function is a function that involves only integer or only integer of a variable in an equation like the quadratic equation, cubic equation, etc. For example, is a polynomial. As a general rule of thumb if an algebraic expression has a radical in it then it isn't a polynomial.
A zero polynomial is the one where all the coefficients are equal to . So, the degree of the zero polynomial is either , or it is set equal to .
A polynomial function is made up of terms called monomials.
A monomial is an expression that contains only one term. In other words, a monomial is a polynomial with a single term. Generally, monomials include numbers, variables, or a number and a variable multiplied together, two or more variables multiplied together. A monomial is an expression that does not contain any arithmetic operators.

Part A
a.
.....expand
..........simplify

=> polynomial

b.
....expand
..........simplify

=> is polynomial =>classification: a degree polynomial with term and variable

c.
....expand
........simplify
=> is polynomial =>classification: is a degree polynomial with term and variable

d.
....expand
........simplify

=> is a degree polynomial with term and variable

Part B
Which expression is not equivalent to ?

a.
...expand

->expression equivalent to
b.

->expression equivalent to
c.

->expression equivalent to
d.

->expression equivalent to

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