Applications of polynomials: $x^2 + bx + c$ - Factoring Polynomials

1.

Common factors of polynomials

2.

Factoring polynomials by grouping

3.

Solving polynomials with unknown coefficients

4.

Solving polynomials with unknown constant terms

5.

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

7.

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

8.

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

9.

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

10.

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

11.

Factor by taking out the greatest common factor

12.

Factor by grouping

13.

Factoring difference of squares: $x^2 - y^2$

14.

Factoring trinomials

15.

Factoring difference of cubes

16.

Factoring sum of cubes