Let P3 have the inner product given by evaluation at -3, -1, 1, and 3. Let p0(t)=1,p1(t)=t and p2(t)=t2 Required:a. Compute the orthogonal projection of p2 onto the subspace spanned by p0 and p1. b. Find a polynomial q that is orthogonal to p0 and p1, such that {p0,p1,q} is an orthogonal basis for Span {p0, p1,p2 }. Scale the polynomial q so that its vector of values at (-3, -1, 1, 3) is (1, -1, -1, 1).

Factor the polynomial 4x4 – 20x2 – 3x2 + 15 by grouping. what is the resulting expression? (4x2 + 3)(x2 – 5) (4x2 – 3)(x2 – 5) (4x2 – 5)(x2 + 3) (4x2 + 5)(x2 – 3)

Create a graph for the demand for starfish using the following data table: quantity/price of starfish quantity (x axis) of starfish in dozens price (y axis) of starfish per dozen 0 8 2 6 3 5 5 2 7 1 9 0 is the relationship between the price of starfish and the quantity demanded inverse or direct? why? how many dozens of starfish are demanded at a price of five? calculate the slope of the line between the prices of 6 (quantity of 2) and 1 (quantity of 7) per dozen. describe the line when there is a direct relationship between price and quantity.

What is the approximate value of  x  in the equation below.–3.396–0.7080.3040.955