Here’s how I approach these equations: First, I scan the polynomial for any Greatest Common Factor (GCF) among all the terms. If there’s a GCF, I use the distributive property to factor it out. - Step 1: Factor out the **GCF** Next, I rearrange the terms to find a suitable group that can be factored further.

Consider the polynomial function g (x) = 7x 5 + 42x 3 + 35x. The GCF is 7x, so we factor that out first: g (x) = 7x (x4 + 6x2 + 5) Similar to the last example, we can rewrite 6x 2 as x 2 + 5x 2: g (x) = 7x (x4 + x2 + 5x2 + 5) [since x2 + 5x2 = 6x2] Now if we look at the last two terms in parentheses, we can factor out a 5:

Find the GCF of all the terms in the polynomial. Express each term as a product of the GCF and another factor. Use the distributive property to factor out the GCF.

To factor a polynomial, Start by identifying any common factors, and you can either use the following factoring methods: Use the difference of squares or sum/difference of cubes formulas for binomials, Group the terms for polynomials with four or more terms