polynomial

Question

1-Circle any polynomials below that are perfect squares trinomials.
x²+ 25                   x²– 12x + 36                  y²– 4wy + w²                     16a²– 40a + 25

 

 

2- Circle any polynomials below that cannot be factored any further using integers.
x²– 100                  125x³+ 1                       6y²– 6y + 1                       x²– 20

Answer 1

First part)

 

Polynomials that are perfect square trinomials can be written in the form  (x ± b)².

 

where:

x is an arbitrary variable

b is an arbitrary constant

 

 

Second part)

 

If you cannot factor a polynomial using FOIL, then the polynomial cannot be factored any further using integers.

 

 

Use these concepts and knowledge to answer the questions.