Explain what is polynomials factoring?
A polynomial is a type of expression in which the exponents of all variables should be a whole number.
Answer: The process involved in breaking a polynomial into its factors is known as the factoring of polynomials.
We will now see how using GCF we can factorize a polynomial.
Factorizing a Polynomial by Factoring out the HCF or GCF
Step 1: Find the GCF of all its terms.
Step 2: Write the polynomial as a product by factoring out the GCF from all the given terms.
Step 3: The remaining factors in each term will form a polynomial.
For example, consider 12x4 - 8x
Now, GCF of 12 and 8 is 4
So, 12x4 - 8x = 4x (3x3 - 2)
Therefore the two factors are 4x and (3x3 - 2)