Dividing Polynomials Quiz

Classify 3x⁵-8x³-2x²+5 by number of terms

polynomial of 4 terms

Suppose the polynomial function below represents the power generated by a wind turbine, where x represents the wind speed in meters per second and y represents the kilowatts generated. Interpret f(10). F(x)=0.08x³+x²+x+0.26

To find f(10), I substitute 10 for x. f(10)+0.08*10^3+10^2+0.26 now solve. 80+100+10+0.26 to get. 190.26

What is the graph of y=1/4x³

(Use mathway or calculator)

what is a cubic polynomial function in standard form with zeros 1,-2, and 2?

f(x)=x³-x²-4x+4

Use synthetic division to find P(3) for P(x)= x⁴-6x³-4x²-6x-2.

-137

use the remainder theorem to find the remainder when P(x)=x⁴-9x³-5x²-3x+4 is divided by x+3

P(x)=(x+3)Q(x)+R P(-3)=(0)Q(x)+R P(-3)=R P(-3)=(-3)^4-9(-3)^3-59-3)^2-3(-3)+4 292

Miguel is designing shipping boxes that are rectangular prisms. The shape of one box, with height h in feet, has a volume defined by the function V(h)=h(h-5)(5-6). Graph the function. What is the maximum volume for the domain 0<h<6? Round to the nearest cubic foot.

24ft³

Divide 3x³+3x²+2x-2 by x+3 using long division.

3x²-6x+20,R-62

Consider the leading term of the polynomial function. What is the end behavior of the graph? 4x⁵+1x

Since n is odd and a is positive, the end behavior is down and up.

Which points are the best approximations of the relative maximum and minimum of the function? f(x)=x³+6x²-36x

The relative maximum is about (-6,216) and the relative minimum is about (2,-40)

Write the polynomial in factored form. x³-3x²-10x.

x(x^2-3x-10) x(x^2-5x+2x-10) x(x(x-5x)+x(x5)) (x-5)+(x+2)

Find the real solutions of the equation by graphing x²-x+2=0

(use mathway or calculator) no solution

divide using synthetic division. -3x³+11x²-x+20 by (x-4)

-3x²-x-5