When two polynomials are added or subtracted, then the correct method of adding or subtracting them is by combining their like terms. Like terms are the terms which have the same variable raised to the same exponent (constant and a constant are like terms as well). Combine like terms calculator is the tool which can combine the like terms and can give a simplified answer for a given expression.
Example 1: Simplify the given polynomial function, f(x)=3x2 + 4x + 6 + 7x2 – 2x - 8.
f(x)=3x2 + 4x + 6 + 7x2 – 2x - 8
Now combine the like terms in the given polynomial expression add theterms with the exponent ‘2’ together and the terms
with the exponent ‘1’ together and the constants together!
f(x) = (3x2 + 7x2) + (4x -2x) + (6 - 8)
f(x) = 10x2 + 2x – 2
Example 2: Simplify the given polynomial function,
f(x)= 2x4 – 3x3 + 6x2 –7x + 4- x3 – 4x2 + 3x – 6
Now combine the like terms add theterms with the exponent ‘4’ together, and then the terms with exponent ‘3’ together.
Exponent ‘2’ terms go together and exponent ‘1’ terms are combined together. Constants are like terms and they are
f(x) = 2x4 + (-3x3 - x3) + (6x2 – 4x2) + (-7x + 3x) + (4 – 6)
f(x) = 2x4 – 4x3 + 2x2 – 4x – 2