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Kuta Software - Infinite Algebra 1 Name_____ Factoring Trinomials (a > 1) Date_____ Period____ Factor each completely. 1) 3 p2 − 2p − 5 (3p − 5)(p + 1) 2) 2n2 + 3n − 9 (2n − 3)(n + 3) 3) 3n2 − 8n + 4 (3n − 2)(n − 2) 4) 5n2 + 19 n + 12 (5n + 4)(n + 3) 5) 2v2 + 11 v + 5 (2v + 1)(v + 5) 6) 2n2 + 5n + 2 (2n + 1)(n + 2)
Kuta Software - Infinite Algebra 1 Name_____ Factoring Trinomials (a = 1) Date_____ Period____ Factor each completely. 1) b2 + 8b + 7 (b + 7)(b + 1) 2) n2 − 11 n + 10 (n − 10)(n − 1) 3) m2 + m − 90 (m − 9)(m + 10) 4) n2 + 4n − 12 (n − 2)(n + 6) 5) n2 − 10 n + 9 (n − 1)(n − 9) 6) b2 + 16 b + 64 (b + 8)2 7) m2 + 2m − 24
Worksheet by Kuta Software LLC Unit 2 Polynomials 2.7 Factoring Perfect Square Trinomials Name_____ Date_____ Period____ ©O y2P0d1m4z JKguOtWaC DSwoofVtKwPa^rVeV qLnLOCm.f M SAflmlp arEiKgvhftrsi Erke_sxe]rlvPe\dD. Factor each completely. 1) 3n2 + 30n + 752) 9a2 - 30a + 25 3) r2 ...
Factoring using Quadratic Trinomials when a = 1 Example: Factor the trinomial. x2 + 6x + 8 factored form: _____ Factor the following trinomials. a. Factor x2 + 4x – 32 b. Factor x2 – 3x – 18 c. Factor x2 – 36 d. Factor 2x2 + 16x + 24
One of the tools used in deciding when this happens is factoring. For example, simple trajectory can be modeled with a quadratic function. If you think of time as the input and height as the output, then the positive time for which the polynomial evaluates to zero is precisely the time when the object hits the ground.
O Z oA vl 5l d er 7iPg yhat 8s2 brAeqsebr xvve ydF. W B xMwaYd ZeD Nwi0tIh w oIqnvf FiOnUigtqe 8 FAOlxg Gejb VrEaI S1u.B Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Factoring Special Cases Date_____ Period____ Factor each completely. 1) 16 n2 − 9 (4n + 3)(4n − 3) 2) 4m2 − 25
Factoring Trinomials Name_____ ID: 1 Date_____ Period____ ©` n2d0k1H6` nKzuNtqa^ HSSo[f`twwVaPreer eLvLECi.q y oAMltlP KrDiagLhitssy frXeksberrtvzefdz. ... Worksheet by Kuta Software LLC-2-13) x2 + 11x + 3014) r2 + 14r + 40 15) m2 + 2m - 6316) x2 + 5xy - 50y2 17) a2 - 3ab - 40b2 18) x2 - 16y2 19) x2 - 11xy + 28y2 20) x2 - 4xy + 3y2