Factoring trinomials

Factoring a trinomial 𝐴𝑥 2 +𝐵𝑥+𝐶 Is there a GCF? Multiply A and C List Factors of 𝐴∙𝐶 and use chart to Select Factor Pair Replace B with Factor Pair Factor by Grouping

SIGN CHART + B C − Both Factors are + Both Factors are − Bigger Factor is + Bigger Factor is −

Factoring Trinomials of the Form 𝐴𝑥 2 +𝐵𝑥+𝐶 Trinomial to Factor A VALUE B VALUE C VALUE Is there a GCF? Trinomial with GCF Factored Out MULTIPLY A & C Use the Chart to Find the Factor Pair that Combines to B. List Factors of 𝐴∙𝐶 C + − B Both Factors are + Both Factors are − Bigger Factor is + Bigger Factor is − Replace B with Factor Pair Factor By Grouping Factored Polynomial

Example 1

Example 2

Write two sets of parenthesis, SHORT CUT 𝐴𝑥 2 +𝐵𝑥+𝐶 Write two sets of parenthesis, ( )( ). These will be the factors of the trinomial. 2. Think of factors of c that add up to b. (Use Chart for Signs)

Example 3

Example 4

Example 5

Example 6

Try These 𝟏) 𝒙 𝟐 +𝟖𝒙+𝟏𝟐 𝟐) 𝒙 𝟐 −𝟓𝒙+𝟔 𝟑) 𝒛 𝟐 +𝟏𝟐𝒛−𝟐𝟖 𝟒) 𝒙 𝟐 −𝟗𝒙−𝟐𝟐 𝟓) 𝒂 𝟐 +𝟐𝒂+𝟏