Select the correct steps for factoring the polynomial 5x^3-40

5 (x-2) (x²+2x+4)

Step-by-step explanation:

Stating with 5x³ - 40, the want to simplify the x part by extracting the common factor, so

5x³ - 40 = 5(x³-8)

Now to factor x³-8, we can rewrite it in the format x³-2³, right?

And there's a formula to obtain x³-y³, which is the Difference of Cubes formula that goes like this:  x³-y³= (x-y)(x²+xy+y²)

So, we apply this formula replacing the y with our value of 2:

x³-2³= (x-2)(x²+2x+2²) = (x-2)(x²+2x+4)

So, overall, we have 5x³ - 40 = 5 (x-2) (x²+2x+4)

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)