The polynomial of degree 3,P(x), has a root of multiplicity 2 at x =1 and a root of multiplicity 1 at x = −5. The y-intercept is y=−4. Find a formula for P(x). p(x)=

Is there a direction u in which the rate of change of f(x, y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.

Sandy is upgrading her internet service. fast internet charges $20 for installation and $52.45 per month. quick internet has free installation but charges $57.45 per month. part 1 out of 2 complete the equation that can be used to find the number of months after which the internet service would cost the same. use the variable x to represent the number of months of internet service purchased.

Aaron paid $9.75 for markers that cost $0.75 each. he bought 4 times as many pencils for $0.35 each. how much did aaron pay for pencils?