Given P(x) = a(b-x)(x+c)(dx + 4), where a, b, c and d are constants. Given the first term of the expansion of P(x) is –12x³ and has a zero of -3. Find P(x) if the
polynomial leaves a remainder of 48 when divided by x and a remainder of
- 312x +312 when divided by
4x -x²-3.

really need help.. please

Write an equation in standard form of the line that passes through the point and has the given slope. ( -2, 4) ; m = -6which of the following best describes the technique used to graph the equation using the slope and y-intercept? y = 5x + 10write the standard form of the equation of the line through the given point with the given slope. point , 4); slope -3/2

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

For each proportion find the unknown number x 1/5/8=×/15