Purchase Solution

Factoring trinomials

Not what you're looking for?

Ask Custom Question

Find 16 different values for "b" that would make the following trinomial into two binomials:

6x^2+bx-10

Purchase this Solution
Solution Summary

This shows how to turn a trinomial into binomials.

Solution Preview

The best way to approach this problem, since the coefficient on the quadratic term is not one, is by grouping.
It works like this:
Consider the trinomial: ax^2 + bx + c
We want to satisfy two conditions:
1)find numbers whose product is ac and
2)whose sum is b
Let's call these numbers d and e.
We can then rewrite the original problem as: ...

Purchase this Solution
Free BrainMass Quizzes
Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Probability Quiz

Some questions on probability

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

View More Free Quizzes
Related BrainMass Solutions

  • Factoring

    111122 Factoring What is factoring by grouping? When factoring a trinomial, why is it necessary to write the trinomials in four terms? Please see the attached file for the complete solution. Thanks for using BrainMass. Factoring is discussd.

  • Factoring Trinomials using Trial and Error

    Factoring Trinomials using Trial and Error is investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

  • Factoring and Trinomials

    237550 Factoring and Trinomials What is factoring by group? When do you factor a trinominal and why is it necessary to write the trinominal in four terms? Please show examples.

  • Factoring Polynomials

    Area = Factoring 15 The following trinomials is in the form . For each trinomial, find two integers that have a product of ac and a sum of b.

  • Factoring trinomials for negative coefficients

    119555 Factoring Trinomials for Negative Coefficients Factor the trinomial: -x^2-3x+10. If the lead coefficient is negative, begin by factoring out -1. Please see the attached file for the complete solution. A trinomial is factored.

  • Factoring Polynomials

    Exercise 8 Exercise 16 Factor each polynomial completely by factoring out any common factors and then factor by grouping. Do not combine like terms.

  • Factoring Trinomials

    142672 Factoring Trinomials Factor the following trinomial completely 3p^3+48p^2-108p 3p^3+48p^2-108p =3p(p^2 + 16p - 36) =3p(p+18)(p-2) A trimomial is factored.

  • Factoring and solving equations

    In this solution, topics covered include factoring out the GCF of polynomials, factoring trinomials and polynomials using various methods, and solving by factoring.

  • Factoring and Multiplying Trinomials

    162045 Factoring and Multiplying Trinomials Please complete the two questions in the attached document. You must show the steps taken to get to your final answer and you must use Microsoft equation editor.

  • Creating and Factoring Trinomials

    484357 Creating and Factoring Trinomials Choose three integers a, b, and c? Feel free to choose negative numbers. Use a, b, and c to create a trinomial ax2 + bx + c. Can you factor this trinomial? How would you create a trinomial that will factor?

View More Related Solutions