Rewrite x^5+5r^3-9r+1 in the form q(x)+r(x)/b(x). what is q(x)? a. x7 + 11x5 + 21x3 + x2 − 54x + 6 b. x5 + 5x3 − 9x + 1 c. x5 + 5x3 − 9 d. x3 − x

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

Y+ 2/y is it a polynomial in one variable or not? and if so, why?

Fill in the blank 1. a rhombus is a rectangle a) always b) sometimes c) never 2. a square is a quadrilateral a) always b) sometimes c) never 3. a trapezoid is a kite a) always b) sometimes c) never 4. a quadrilateral is a kite a) always b) sometimes c) never 5. a square is a rhombus a) always b) sometimes c) never 6. a parallelogram is a rectangle a) always b) sometimes c) never