Factoring Trinomials ο½ What happens when we multiply the binomials below? (π₯ β 4)(π₯ + 1) ο½ ο½ ο½ Form: π₯ 2 + ππ₯ + π (Notice that the leading coefficient is 1) Steps: 1. Find integers that multiply to be π. 2. Of those, choose the pair that adds to be π. If no such integers exist, then itβs prime. Factor the trinomial. π£ 2 + 2π£ β 63 Factor the trinomial. π‘ 2 + 11π‘ + 30 Factor the trinomial. π£ 2 β 5π£π¦ β 14π¦ 2 Factor the trinomial. 2 2 a. π₯ π¦ + 11π₯π¦ + 18 b. π₯ 2 π¦ 2 + 10π₯π¦ + 18 ο½ What happens when we multiply the binomials below? (2π₯ β 5)(3π₯ + 1) ο½ ο½ ο½ Form: ππ₯ 2 + ππ₯ + π, π β 1 (Notice that the leading coefficient is not 1) Use the ππ method: 1. Multipy π and π together. 2. Find integers that multiply to be ππ . 3. Of those, choose the pair that adds to be π. 4. Substitute those for ππ₯ above. 5. Factor by grouping. If no such integers exist, then itβs prime. Factor the trinomial. β3π₯ 2 β 17π₯ + 56 Factor the trinomial. 15π₯ 2 + 17π₯π¦ β 18π¦ 2 Factor the trinomial. 15π₯ 2 π¦ 2 + 7π₯π¦ β 2 ο½ Our first step in factoring is always the same. ο½ Factor out a GCF if possible. Factor the trinomial. β11π₯ 3 + 66π₯ 2 β 88π₯ Factor the trinomial. π4 π 3 β 8π3 π 2 + 12π2 π Special Factoring Factor the polynomial. 32π₯ 2 β 98π¦ 2 Factor the polynomial. π¦ 3 β 64 Factor the polynomial. 9π¦ 2 + 6π¦π§ + π§ 2 Factor the polynomial. π¦ + π§ 3 + 64 Factor the polynomial. π4 β 256 Factor the polynomial. π₯+π¦ 2+6 π₯+π¦ +9 Factor the polynomial. 24π3 + 81π3 Factor the polynomial. 9π3 β 24π + 16 β π2 Be sure to stay on top of your MyMathLab assignments!!!
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