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

A farmer has 100 m of fencing to enclose a rectangular pen. Which quadratic equation gives the area (A) of the pen, given its wi

inn [45]

A(w)=50w-w2 if the perimeter is 100, I plugged in possible values for the width...I used w=15 and length = 35 for a perimeter of 100. then I plugged these values in the possible equations until I found the correct one giving me an area of 525 (15x35) . I could not think of an easier way.

5 0

3 years ago

Read 2 more answers

Im struggling a lot with these problems can anyone help and show the WORK please?

Kay [80]

Answer:

Step-by-step explanation:

I'll give a couple answers so you get the gist of things.

All you have to do is substitute 1/2 for x and 3/4 for y.

Ex - 30. x × y = 1/2 × 3/4 = 3/8

5 0

3 years ago

113 + taxes ________________​

113 + taxes ________________