HELP. Multiply the polynomials and simplify the answer. Show your work. (3a³ - 2a - 7) and (4a² - 2a + 1)

Simplify the expression using long division. Show your work.
(2x³ - 10x² + 5x +14) ÷ (x-2)

Part 1)

Part 2)

Step-by-step explanation:

Part 1)

We would like to multiply:

Distribute each term from the first group into the second group. So:

Distribute further:

Combine like terms:

Simplify:

Part 2)

We would like to divide:

Using long division.

Please refer to the attached document.

For the first step, x goes into 2x³ 2x² times. Hence, we multiply our divisor by 2x².

Next, x goes into -6x^2 -6x times. Hence, we multiply our divisor by -6x.

Finally, x goes into -7x -7 times. So, we multiply our divisor by -7 and we simplify.

Therefore:

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !