Recall the polynomial remainder theorem: if $m-c$ is a factor of some polynomial $p(m)$ , then the remainder upon dividing $p(m)$ by $m-c$ is $p(c)$ .

Let $c=-1$ and $p(m)=-2m^3+m^2-m+1$ . The remainder left from dividing $p(m)$ by $m+1$ is

$p(-1)=-2(-1)^3+(-1)^2-(-1)+1=5$

If we subtract 5 from both sides, we'd get a "remainder" of 0, which suggests that we have to add -5 to $p(m)$ to make $m+1$ a factor.

4 0

3 years ago

What would be the total area of a piece of land that was made up of three squares that each has a side length of 4x-2?

Darya [45]

Answer:

48x^2-48x+12

Step-by-step explanation:

3(area of square)

3(w^2)

3((4x-2)^2)

3(16x^2-16x+4)

48x^2-48x+12

4 0

3 years ago

Natasha is 12 years old. Her teacher is 36 years old. Which ratio represents Natasha's age in 4 years to her teacher's age in 4

Ainat [17]

Answer:

I’m pretty sure it’s 1:3

Step-by-step explanation:

5 0

3 years ago