# Determine if a Polynomial (x+1)(x-5)

(x+1)(x-5)
A polynomial is a combination of terms separated using + or – signs. Polynomials cannot contain any of the following:
1. Variables raised to a negative or fractional exponent. (2x-2,x12,…).
2. Variables in the denominator. (1x,1×2,…).
3. Variables under a radical. (x,x3,…).
4. Special features. (trig functions, absolute values, logarithms, …).
Simplify the expression.
Expand (x+1)(x-5) using the FOIL Method.
Apply the distributive property.
x(x-5)+1(x-5)
Apply the distributive property.
x⋅x+x⋅-5+1(x-5)
Apply the distributive property.
x⋅x+x⋅-5+1x+1⋅-5
x⋅x+x⋅-5+1x+1⋅-5
Simplify and combine like terms.
Simplify each term.
Multiply x by x.
x2+x⋅-5+1x+1⋅-5
Move -5 to the left of x.
x2-5⋅x+1x+1⋅-5
Multiply x by 1.
x2-5x+x+1⋅-5
Multiply -5 by 1.
x2-5x+x-5
x2-5x+x-5
x2-4x-5
x2-4x-5
x2-4x-5
Determine if the expression breaks any of the rules.
Does not break any of the rules
Determine if the expression is a polynomial.
Polynomial
Determine if a Polynomial (x+1)(x-5)