Question

I need help with 4 questions... ;n; Monomials and polynomials... (attached below)

Answer 1

I think 7 is false... I'm not sure about the other three though. . .

Answer 2

8..... I think A... Maybe?

Answer 3

9 and 10, the infinity throws me of... I have no idea.

Answer 4

7,8 are correct!

for 9 and 10, just plug in the value of x as \(\infty \quad and \quad -\infty \)

Answer 5

take the sign of the highest exponent of x

Answer 6

For number 9 it would be 4 and 10, 3...
Where would I plug them in at? ;o

Answer 7

for example ,
\(with \: x \to \infty , \quad x^3-x^2 \to +\infty \)
\(with \: x \to -\infty , \quad x^3-x^2 \to -\infty \)

Answer 8

for 9th,
since it is -x^4
plugging in x= infinity there, gives you -infinity

Answer 9

... Because the x is negative, It made the infinity negative?

Answer 10

x is positive ,
so x^4 is positive
so - x^4 will be negative :)

Answer 11

in 10th,
x is negative
so 2x^3 will also be negative!

Answer 12

just think of infinity as a very large number!

Answer 13

So..... Then 9 would be true and 10 would be false?! :O
What yhu just did. Was at leat a bagillion times easier then how my teacher and tutor were trying to teach me...

Answer 14

Least*

Answer 15

9 will be false right ?
as x is positive, f(x) will be negative

Answer 16

because you have -x^4 there,
which will be negative

Answer 17

Ohhhhhh... Oh my gosh...
So then 10... Would aslo be false? ... No it'd be true! Because the x is negative... and f(x)... It's positive... Right?

Answer 18

x is negative
2x^3 will be negative
f(x) will be negative
false

Answer 19

-2x^3 will be positive, but we have +2x^3 in the question

Answer 20

Right. So if in the question, f(x) is +2x^3, why would the f(x) --> positive infinity be wrong?

Answer 21

because since x is negative, x^3 is negative, +2x^3 is negative
and f(x) is negative

Answer 22

as i said, think of infinity as a very large number

say when x is negative infinity
take

x= -9999999999999999999

Answer 23

when x is +infinity
take
x = 99999999999999999

Answer 24

>O< Oh! I missed the cubic root... That's where... Oh... Alright. >u<