Find the quotient and remainder when 3x4 - 4x3 -3x - 1 is divided by x- 1. also verify the remainder obtained by remainder theorem.

The perimeter of a triangle is 69 cm. the first is 5 cm shorter than the second side. the third side is twice as long the first side. find the length of each side

Which expression is equivalent to the expression shown?

Is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis.