10.

Find the quotient and the remainder. Check your work by verifying that

(Quotient)(Divisor) +Remainder=Dividend.

16x3−5x2+x+1 divided by x+2

 

 

 

17.

Find the midpoint of the line segment joining the points P1 and P2.

P1 = (2,6)

P2= (−3,7)

The midpoint is______

18.

The midpoint of the line segment from P1 to P2 is (−5,7). If P1 = (−1,8) , what is P2?

 

P2= ____ (type an ordered pair.)

21.

For the given equation, list the intercepts and test for symmetry.

4x2+25y2=100

What are the intercept(s) if any?

 

22.

For the given equation, list the intercepts and test for symmetry.

y = −4x

x2+4

What are the intercept(s),if any?

 

23.

If (a,−8) is a point on the graph of y=x2−6x, what is a?

 

 

27.

Find an equation for the line with the given properties. Express the equation in slope-intercept form.

Containing the points

P=(−5,−2)

Q=(−3,−1)

What is the equation of the line?

 

y=

(Simplify your answer. Use integers or fractions for any numbers in the expression.)

 

28.

Find the equation of a line that is perpendicular to the line

y =1/4x+4 and contains the point (−2,0).

y=

(Type your answer in slope-intercept form.)

 

 

 

 

29.

Find the slope and y-intercept of the line. Graph the line.

4x - 5y = 20

What is the slope of the line?