When you are factoring a trinomial with a leading coefficient other than 1 What is the first step?

In factoring a trinomial with a leading coefficient other than 1, the first step is to look for a common factor in each term and factor it out.

What is trinomial with leading coefficient of 1?

Factoring a Trinomial with Leading Coefficient 1 In general, for a trinomial of the form x2+bx+c x 2 + b x + c you can factor a trinomial with leading coefficient 1 by finding two numbers, p and q whose product is c, and whose sum is b.

How do you factor 16×2 40x 25?

1 Answer

1. Compare a2−2ab+b2 to 16×2−40x+25.
2. Then, 2ab=2×4x×5=40x , as given in the expression.
3. 16×2−40x+25.
4. The factors are 4x−5,4x−5.

How to factor trinomials with leading coefficient not 1?

This algebra video tutorial shows you how to factor trinomials in the form ax2+bx+c when a, the leading coefficient, is not 1. It shows you how to use the ac method to factor such trinomials that contain 3 terms which involves factoring polynomials by grouping. This video contains plenty of examples and practice problems for you to work on.

Can a lead coefficient greater than 1 be factored?

Confused already because you aren’t sure what a lead coefficient greater than 1 means?” Yes, you’ve probably discovered that these trinomials are a little more difficult to factor. But, no worries, if you can factor by grouping, then I am going to show you a very simple, easy way to factor these trinomials. Factor the trinomial: 3×2 – 24x – 8.

Can A trinomial be factored with four terms?

I hope that you also noticed that the new polynomial with four terms is still equivalent to the original trinomials. When you combine like terms, we end up with the same middle term that is contained in the original trinomial. Once you have a new set-up with four terms, you can use the grouping method to continue factoring this trinomial.

How can you tell if A trinomial is prime?

The only way to be certain a trinomial is prime is to list all the possibilities and show that none of them work. Factor: . As shown in the table, none of the factors add to ; therefore, the expression is prime. Factor: . Factor: . Factor: . As shown in the table, you can use as the last terms of the binomials. Check. Factor: . Factor: .