SM2
Name__________________________________Period______
13.3/13.5 Factoring and Solving Equations with Leading Coefficient ≠ 1
1.
Mr. Vanek writes the trinomial 6x2 + 26x + 28 on the board and asks Wanda and Cyril to factor it. Their work is
shown below. Determine which student factored the trinomial correctly. Identify any mistakes that were made
in either solution and correct them.
Cyril
Wanda
6x2 + 26x + 28= (3x + 7)(2x+ 4)
6x2 + 26x + 28 = 2(3x2 + 13x + 14) = 2(3x + 7)(x + 2)
2. Complete the following multiplication table. Then, write the trinomial and its factors. Explain how you
determined your answers.
∙
2x
x
-6x
-24
3. Conner Mcquown throws a football upward. Let t = the time in seconds after the football is thrown. Let h= the
height of the football. The quadratic function h(t) = -5t2 + 26t - 5 represents the height of the football as a
function of time. Factor the function.
Factor each trinomial
4. 2x2 + x– 6
8. –6x2 – x + 2
5. 4x2 – 19x + 12
9. –6x2 + 15x + 36
6. 5x2 – 10x + 6
10. 20x2 – 17x – 63
7. 2x2 – 4x – 16
11. 6x2 + xy – 12y2
12. 4x2-9
14. 4x2-4x+1
13. 8x2-50
15. 81x2+90x+25