Match each polynomial with its factorization. 1. y 2 - y - 2 (4y - 3)(y + 2) 2. 3y 2 - 27 3(y - 3)(y + 3) 3. y 4 - 16 -4(y + 2)( y - 4) 4. y 2 - 12y + 36 (y + 1)(y - 2) 5. -4y 2 + 8y + 32 (y - 2)(y + 2)(y2 + 4) 6. 5y - 2 + 4y 2 - 4 (y - 6)2

1. y^2 - y - 2 = (y + 1)(y - 2)

2. 3y^2 - 27 = 3(y - 3)(y + 3)

3. y^4 - 16 = (y - 2)(y + 2)(y^2 + 4)

4. y^2 - 12y + 36 = (y - 6)^2

5. -4y^2 + 8y + 32 = -4(y + 2)( y - 4)

6. 5y - 2 + 4y^2 - 4 = (4y - 3)(y + 2)          

Step-by-step explanation:

1. y^2 - y - 2=(y - 2)(y + 1)→

y^2 - y - 2 = (y + 1)(y - 2)

2. 3y^2 - 27

Common factor 3:

Using Difference of squares:

with:

3y^2 - 27=3(y - 3)(y + 3)

3. y^4 - 16

Using Difference of squares:

with:

y^4 - 16 = (y^2-4)(y^2+4)

Using Difference of squares in the first parentheses:

with:

y^4 - 16 = (y - 2)(y + 2)(y^2 + 4)

4. y^2 - 12y + 36 = (y - 6)(y - 6)

y^2 - 12y + 36 = (y - 6)^2

5. -4y^2 + 8y + 32

Common factor -4:

-4y^2 - 12y + 32 = -4(y + 2)( y - 4)

6. 5y - 2 + 4y^2 - 4

Adding like terms:

5y - 2 + 4y^2 - 4 = 5y + 4y^2 - 6

Ordering the terms:

5y - 2 + 4y^2 - 4 = 4y^2 + 5y - 6

Writing 5y like: 8y - 3y = -3y + 8y

5y - 2 + 4y^2 - 4 = 4y^2 - 3y + 8y - 6

Grouping terms:

5y - 2 + 4y^2 - 4 = (4y^2 - 3y) + (8y - 6)

Common factor in the first parentheses y and 2 in the second parentheses:

5y - 2 + 4y^2 - 4 = y(4y - 3) + 2(4y - 3)

Common factor 4y-3:

5y - 2 + 4y^2 - 4 = (4y - 3)(y + 2)

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)