1. -16/-4 = 4
2. for this we have to distribute throughout the parenthesis. This means that the 4 is multiplied by both the x and the 6. and the same for the 2 being multiplied by both the x and the 3. This will simplify to
[tex]4x+24+2x+6[/tex]
Now we have to combine like terms. This gives us the answer
[tex]6x+30[/tex]
3. The degree is the largest exponent in the equation so in the equation
[tex]5x^3y +3x^2y^2+x-17[/tex] The largest exponent is 3, so that would be the degree
4. For this one we must distribute the x to both the x and 1. Then we must do the same with the 7. Lastly, we must combine like terms.
Lets begin with the x,
[tex]x(x+1) =x^2+x[/tex]
and now 7
[tex]7(x+1)=7x+7[/tex]
Now we have to combine like terms
[tex]x^2+x+7x+7 = x^2+8x+7[/tex]
So the answer is [tex]x^2+8x+7[/tex]
5. For this one we must solve for c. In order to do this, we must combine like terms and then isolate c.
[tex]4c-11=10c-5[/tex]
First, we must subtract 4c from each side as well and add 5 to each side. This will leave us with [tex]-6=6c[/tex]
Now we can divide each side by 6, so that c will be alone. And we will be left with [tex]c=-1[/tex] as our answer
