What is the quotient when -3x^3+5x+14 is divided by x-2?
-3x^2-6x-7
-3x^2-x+12
-3x^2+6x-7+28/x-2
-3x^2-x+12+28/x-2

-3x^2 -6x -7

Step-by-step explanation:

See the attachment for the synthetic division. Of course, polynomial long division will give the same result. Make sure you deal with the signs and the powers of x properly.

Step-by-step explanation:

This triangle has a small square in the corner, representing a right angle. This means we can use the Pythagorean Theorem.

Where a and b are the legs and c is the hypotenuse.

In this triangle, the legs are 2 and 1, because they form the right angle. The hypotenuse, which is opposite the right angle, is unknown.

Substitute the known values into the formula.

Solve the exponents.

Add.

Since we are solving for c, we must isolate the variable. Since it is being squared, we take the square root of both sides.

We have to round to the nearest tenth. The 3 in the hundredth place tells us to leave the 2 in the tenths place.

The hypotenuse is approximately 2.2 inches.