Question

The length of a rectangle is (5x2 + 4x - 4) units, and its width is (4x3 - 2x + 6) units.

Part A: What is the area of the rectangle? Show your work. (5 points)

Part B: Does the answer for Part A show that polynomials are closed under an operation? Justify your answer. (3 points)

Part C: What is the degree and classification of the expression obtained in Part A? (2 points)

Answer 1

@lacrosseplayer22

Answer 2

Let me rewrite the question. I didn't raise the exponents.

Answer 3

(5x^2+4x-4) (4x^3-2x+6)

Answer 4

do you know how to foil?

Answer 5

Not really...

Answer 6

ok i'll draw the process. it'll be confusing but ill try my best

Answer 7

It's just another order of operations thing right? First Outer Inner Last?

Answer 8

u got it! except this time there are more number so start multiplying/distributing each one.

Answer 9

Okay

Answer 10

5x^2 times 4x^3....5x^2 times -2x....5x^2 times 6

Answer 11

So the end result would be 20x^5-8x^2-24?

Answer 12

no you have to distribute each one like that.

Answer 13

if I did my math correctly it should be 20x^5+16x^4-26x^3+22x^2+32x-24 right?

Answer 14

is that a choice?

Answer 15

Extended Response Again... ugh. Can't I combine like terms though?

Answer 16

no u have to multiply everything out

Answer 17

each term to each term on the other side

Answer 18

So thats the answer?

Answer 19

yep I think so

Answer 20

Okay