# Determine if a Polynomial (5x-4)(6x+3)

(5x-4)(6x+3)
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 (5x-4)(6x+3) using the FOIL Method.
Apply the distributive property.
5x(6x+3)-4(6x+3)
Apply the distributive property.
5x(6x)+5x⋅3-4(6x+3)
Apply the distributive property.
5x(6x)+5x⋅3-4(6x)-4⋅3
5x(6x)+5x⋅3-4(6x)-4⋅3
Simplify and combine like terms.
Simplify each term.
Multiply x by x.
5⋅6×2+5x⋅3-4(6x)-4⋅3
Multiply 5 by 6.
30×2+5x⋅3-4(6x)-4⋅3
Multiply 3 by 5.
30×2+15x-4(6x)-4⋅3
Multiply 6 by -4.
30×2+15x-24x-4⋅3
Multiply -4 by 3.
30×2+15x-24x-12
30×2+15x-24x-12
Subtract 24x from 15x.
30×2-9x-12
30×2-9x-12
30×2-9x-12
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 (5x-4)(6x+3)

Scroll to top