Problem #1 Factor the following trinomial: 𝑥 2 + 14𝑥 + 40 Problem #2 Factor the following trinomial: 𝑥 2 + 11𝑥 + 24 Problem #3 Factor the following trinomial: 𝑥 2 − 10𝑥𝑦 − 75𝑦 2 Answer #1 (𝑥 + 4)(𝑥 + 10) Answer #2 (𝑥 + 3)(𝑥 + 8) Answer #3 (𝑥 + 5𝑦)(𝑥 − 15𝑦) Problem #4 Factor the following trinomial: 𝑥 2 + 9𝑥 − 36 Problem #5 Factor the following trinomial: 2𝑥 2 − 6𝑥 − 56 Answer #3 Problem #6 Factor the following trinomial: 𝑥 2 − 10𝑥𝑦 − 75𝑦 2 $55 Answer #4 (𝑥 + 12)(𝑥 − 3) Answer #5 2(𝑥 − 7)(𝑥 + 4) Answer #6 (𝑥 + 5𝑦)(𝑥 − 15𝑦) Problem #7 Factor the following trinomial: 𝑥 2 − 14𝑥 + 33 Problem #8 Factor the following trinomial: 𝑥 2 + 16𝑥 + 64 Problem #9 Factor the following trinomial: 𝑥 2 + 3𝑥𝑦 − 18𝑦 2 Answer #7 (𝑥 − 11)(𝑥 − 3) Answer #8 (𝑦 + 8)2 Answer #9 (𝑥 + 9𝑦)(𝑥 + 10𝑦) Problem #10 Factor the following trinomial: 𝑥 2 − 2𝑥 − 99 Problem #11 Factor the following trinomial: 𝑥 2 − 12𝑥𝑦 + 35𝑦 2 Problem #12 Factor the following trinomial: 3𝑥 2 − 12𝑥 + 12 Answer #10 (𝑥 − 11)(𝑥 + 9) Answer #11 (𝑥 − 5𝑦)(𝑥 − 7𝑦) Answer #12 3(𝑛 − 2)2 Problem #13 Factor the following trinomial: 𝑥 2 + 𝑥 − 56 Problem #14 Factor the following trinomial: 𝑥 2 − 3𝑥𝑦 − 28𝑦 2 Problem #15 Factor the following trinomial: 5(𝑦 2 + 25𝑦 − 30) Answer #13 (𝑥 − 7)(𝑥 + 8) Answer #14 (𝑥 + 4𝑦)(𝑥 − 7𝑦) Answer #15 5(𝑦 − 1)(𝑦 + 6) Problem #16 Factor the following trinomial: 6𝑥 2 − 42 + 60 Problem #17 Factor the following trinomial: 𝑥 2 + 5𝑥𝑦 − 84𝑦 2 Answer #3 Problem #18 Factor the following trinomial: 𝑥 2 − 4𝑥 − 32 $55 Answer #16 6(𝑥 − 2)(𝑥 + 5) Answer #17 (𝑥 − 7𝑦)(𝑥 + 12𝑦) Answer #18 (𝑦 − 8)(𝑦 + 4) Problem #19 Factor the following trinomial: 2𝑥 2 − 14𝑥 − 32 Problem #20 Factor the following trinomial: 𝑥 2 − 8𝑥𝑦 − 33𝑦 2 Problem #21 Factor the following trinomial: 𝑥 2 − 13𝑥 − 30 Answer #19 2(𝑥 − 12)(𝑥 + 5) Answer #20 𝑥 + 3𝑦)(𝑥 − 11𝑦) Answer #21 (𝑥 − 15)(𝑥 + 2) Problem #22 Factor the following trinomial: 4𝑥 2 + 36𝑥 + 56 Problem #23 Factor the following trinomial: 𝑥 2 − 16𝑥𝑦 + 48𝑦 2 Problem #24 Factor the following trinomial: 𝑥 2 − 13𝑥 + 42 Answer #22 4(𝑥 + 7)(𝑥 + 2) Answer #23 (𝑥 − 4𝑦)(𝑥 − 12𝑦) Answer #24 (𝑥 − 7)(𝑥 − 6)