Question 1 A) Multiple Choice Factor x2 – 7x + 12. (1 point) Responses (x – 3)(x + 4) ( x – 3)( x + 4) (x – 3)(x – 4) ( x – 3)( x – 4) (x – 6)(x – 2) ( x – 6)(x – 2) (x – 1)(x – 12) ( x – 1)( x – 12) Question 2 A) Factor x2 + 11x + 24. (1 point) Responses (x + 6)(x + 4) ( x + 6)( x + 4) (x + 2)(x + 12) ( x + 2)( x + 12) (x + 3)(x + 8) ( x + 3 )(x + 8 ) (x + 1)(x + 11) ( x + 1 )(x + 11 ) Question 3 A) Factor 2m2 + 27m + 70. (1 point) Responses (2m + 7)(m + 10) (2 m + 7)( m + 10) (2m + 10)(m + 7) (2 m + 10)( m + 7) (2m + 3)(m + 20) (2 m + 3)( m + 20) (2m + 7)(m – 10) (2 m + 7)( m – 10) Question 4 A) Factor g2 – 64. (1 point) Responses (g – 1)(g + 64) ( g – 1)( g + 64) (g + 8)(g – 8) ( g + 8)( g – 8) (g – 8)(g – 8) ( g – 8)( g – 8) (g + 8)(g + 8) ( g + 8)( g + 8) Question 5 A) Factor 49t2 – 9. (1 point) Responses (7t + 3)(7t + 3) (7 t + 3)(7 t + 3) (7t + 3)(–7t – 3) (7 t + 3)(–7 t – 3) (7t + 3)(7t – 3) (7 t + 3)(7 t – 3) 7t – 3 7 t – 3 Question 6 A) The area of a rectangular field is given by the trinomial t2 – 4t – 45. The length of the rectangle is t + 5. What is the expression for the width of the field? (1 point) Responses t – 9 t – 9 t – 5 t – 5 t – 11 t – 11 t – 7 t – 7 Question 7 A) Factor p2 – 24p + 144. (1 point) Responses (p + 12)2 ( p + 12) 2 (p – 2)(p + 72) ( p – 2)( p + 72) (p – 12)2 ( p – 12) 2 (p – 3)(p + 48) ( p – 3)( p + 48) Question 8 A) Factor 3n3 – 6n2 + 4n – 8. (1 point) Responses (3n2 + 4)(n – 2) (3 n 2 + 4)( n – 2) (n2 + 4)(3n – 2) ( n 2 + 4)(3 n – 2) (3n2 – 2)(n + 4) (3 n 2 – 2)( n + 4) (n2 – 2)(3n + 4) ( n 2 – 2)(3 n + 4) Question 9 A) Factor 2g3 – g2 – 8g + 4. (1 point) Responses (g – 1)(2g2 – 4) ( g – 1)(2 g 2 – 4) (2g – 1)(g2 – 4) (2 g – 1)( g 2 – 4) (2g2 – 1)(g – 4) (2 g 2 – 1)( g – 4) (2g + 1)(g2 – 4)
1) Factor x^2 - 7x + 12: (x - 3)(x - 4)
2) Factor x^2 + 11x + 24: (x + 3)(x + 8)
3) Factor 2m^2 + 27m + 70: (2m + 7)(m + 10)
4) Factor g^2 - 64: (g + 8)(g - 8)
5) Factor 49t^2 - 9: (7t + 3)(7t - 3)
6) Width of the field is t - 9
7) Factor p^2 - 24p + 144: (p - 12)^2
8) Factor 3n^3 - 6n^2 + 4n - 8: (n^2 - 2)(3n + 4)
9) Factor 2g^3 - g^2 - 8g + 4: (2g - 1)(g^2 - 4)