Trong Q[x], chứng minh rằng idean sinh bởi 3x5 + 2x4 − x2 + 4x2 + 3x − 1, 2x3 + x − 1 là idean chính. Tìm phần tử sinh của nó.

What is the value of x? enter your answer in the box. photo attached.

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.

The point of intersection of the diagonals of a rectangle is 4 cm further away from the smaller side then from the larger side of the rectangle. the perimeter of the rectangle is equal to 56 cm. find the lengths of the sides of the rectangle. 16 points answer quick