Prove that the absolute value of the product of two integers is equal to the product of the absolute value of each integer.

Q: If a0, a1, . . ., an are real numbers satisfying a0/1 +a1/2+ . . . + an /(n + 1) = 0, show that the…

A: Let's define f(x) = a0 + a1x + a2x2 + . . . + anxn

Q: Find x, and x2- 30 X2 - 46

A:

Q: Factor.  A) x2-2x-35   B) x2+2x-35

A: A) We will factor -35 so that the sum of the factors= -2 Such factors are -7 and 5 So we write -2x…

Q: Find 3|X| + 12

A: See the attachment

Q: Show that the product of a non-zero rational and an irrational is irrational.

A: A number 'a' is said to be rational if 'a' can be written as,pq where p, q≠0 are integers. And, a…