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.

Explanation:

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)

Hence, breaking a polynomial into its factors is known as the factoring of polynomials.