Question

####Worth 20 pts####

Match each polynomial with its factorization. ***MATCH THE LETTERS TO THE NUMBERS*** Ex. 3 is B ( For example ONLY)
1. y^2 - y - 2
2. 3y^2 - 27
3. y^4 - 16
4. y^2 - 12y + 36
5. -4y^2 + 8y + 32
6. 5y - 2 + 4y^2 - 4
________________
A. (y - 2)(y + 2)(y^2 + 4)
B. -4(y + 2)( y - 4)
C. (4y - 3)(y + 2)
D. 3(y - 3)(y + 3)
F. (y - 6)^2
G. (y + 1)(y - 2)

Answer 1

1. y^2 - y - 2 = (y - 2)(y + 1) (Answer is G)
2. 3y^2 - 27 = 3(y^2 - 9) = 3(y+3)(y - 3) (Answer is D)
3. y^4 - 16 = (y^2 + 4)(y^ - 4) = (y^2 + 4)(y + 2)(y - 2) (Answer is A)
4. y^2 - 12y + 36 = (y - 6)^2 (Answer is F)
5. -4y^2 + 8y + 32 = -4(y^2 - 2y - 8) = -4(y+2)(y - 4) (Answer is B)
6. 5y - 2 + 4y^2 - 4 = 4y^2 + 5y - 6 = (4y - 3)(y + 2) (Answer is C)