Polynomials are algebraic expressions which can contain a constant term or a single term with a variable or more than a single term in an expression. Polynomials can be simplified by using various methods and one of the methods to simplify and find solution is factoring. Factor the polynomial calculator is the online tool which can factor any given polynomial.
Example 1:Factor the given polynomial expression: 4x4 - 16x2
Given polynomial expression: 4x4 -16x2
In the above two terms, we can see that ‘x2’ and ‘4’ are the common factors in the polynomial.
Hence > 4x2(x2 - 4)
Now ‘x2 - 4’ is in the form of the formula > a2 – b2 = (a + b)(a – b)
x2 – 4 = (x2 – 22) = (x + 2)(x – 2)
Hence the polynomial expression can be factored as > 4x2(x2 – 4) = 4x(x + 2) (x – 2)
Example 2: Factor the given polynomial expression: x3y5 – xy
Given polynomial expression: x3y5 – xy
In the above two terms, we can see that ‘x’ and ‘y’ are the common factors in the polynomial since both are
present in both the terms.
Hence we pull out a single ‘x’ and a single ‘y’ in both the given terms.
x3y5 – xy can also be written as xy(x2y4 – 1)
Hence the polynomial expression can be factored as > x3y5 – xy = xy(x2y4 – 1)