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(20849)   (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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