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- Factoring Polynomial Expressions

Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

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Get Started Now- Lesson: 1a3:11
- Lesson: 1b4:28

In this section, we will learn how to find all the possible answers to the unknown "b" in the polynomials ${ax^2 + bx+c}$. Similar to the earlier sections in this chapter, we are going to apply trinomial factoring to reverse the process of FOIL to solve the problems.

Basic concepts: Multiplying binomial by binomial, Common factors of polynomials, Solving polynomials with unknown coefficients,

Related concepts: Factor by taking out the greatest common factor, Factor by grouping, Factoring difference of squares: $x^2 - y^2$, Factoring trinomials,

- 1.Determine all integers k of the following trinomials.a)${2x^2+kx-5}$b)${3x^2+kx+4}$

28.

Factoring Polynomial Expressions

28.1

Common factors of polynomials

28.2

Factoring polynomials by grouping

28.3

Solving polynomials with the unknown "b" from $x^2 + bx + c$

28.4

Solving polynomials with the unknown "c" from $x^2 + bx + c$

28.5

Factoring polynomials: $x^2 + bx + c$

28.6

Applications of polynomials: $x^2 + bx + c$

28.7

Solving polynomials with the unknown "b" from $ax^2 + bx + c$

28.8

Factoring polynomials: $ax^2 + bx + c$

28.9

Factoring perfect square trinomials: $(a + b)^2 = a^2 + 2ab + b^2$ or $(a - b)^2 = a^2 - 2ab + b^2$

28.10

Find the difference of squares: $(a - b)(a + b) = (a^2 - b^2)$

28.11

Evaluating polynomials

28.12

Using algebra tiles to solve polynomials

28.13

Solving polynomial equations

28.14

Word problems of polynomials

We have over 2420 practice questions in ACCUPLACER Test Prep for you to master.

Get Started Now28.1

Common factors of polynomials

28.2

Factoring polynomials by grouping

28.3

Solving polynomials with the unknown "b" from $x^2 + bx + c$

28.4

Solving polynomials with the unknown "c" from $x^2 + bx + c$

28.5

Factoring polynomials: $x^2 + bx + c$

28.6

Applications of polynomials: $x^2 + bx + c$

28.7

Solving polynomials with the unknown "b" from $ax^2 + bx + c$

28.8

Factoring polynomials: $ax^2 + bx + c$

28.9

Factoring perfect square trinomials: $(a + b)^2 = a^2 + 2ab + b^2$ or $(a - b)^2 = a^2 - 2ab + b^2$

28.10

Find the difference of squares: $(a - b)(a + b) = (a^2 - b^2)$

28.11

Evaluating polynomials

28.13

Solving polynomial equations

28.14

Word problems of polynomials