Factor 11k^4 − 88k^3 + 77k^2

11k^2 (k - 7)(k - 1)

Step-by-step explanation:

The highest common factor is

11k^2

Using the distributive property we get at least 2 factors.

11k^2 ( k^2 - 8k + 7)

The second factor reduces yet again.

11k^2 (k - 7)(k - 1)

11k^2(k−7)(k−1)

Step-by-step explanation:

11k^4 − 88k^3 + 77k^2

Factor out 11.

11(k^4-8k^3+7k^2)

Consider k^4-8k^3+7k^2. Factor out k^2.

k^2(k^2−8k+7)

Consider k^2 −8k+7. Factor the expression by grouping. First, the expression needs to be rewritten as k^2+ak+bk+7. To find a and b, set up a system to be solved.

a+b=−8

ab=1×7=7

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. The only such pair is the system solution.

a=−7

b=−1

Rewrite k^2−8k+7 as (k^2−7k)+(−k+7).

(k^2−7k)+(−k+7)

Factor out k in the first and −1 in the second group.

k(k−7)−(k−7)

Factor out common term k−7 by using distributive property.

(k−7)(k−1)

Rewrite the complete factored expression.

11k^2(k−7)(k−1)

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!

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