Question

I am so lost can someone help me and explain these to me... step by step... i really need help... i just dont get it...

Answer 1

QUESTION 1a

The given function is:


`5 {x}^(4) - 8`

By number of terms we classify this as a binomial.

By degree, we classify this as a quartic polynomial.

QUESTION 1b)

The given function is:


`4 {a}^(2) - 2a - 16`

based on number of terms: trinomial

based on degree: quadratic polynomial.

QUESTION 1c

The given function is;


`9 {m}^(3)`

Using number of terms: monomial

Using degree: cubic polynomial

QUESTION 2a.

Michael's weight:


`72 {x}^(5)`

Al's weight:


`9 {x}^(7)`

Ratio:


`72 {x}^(5):9 {x}^(7)`

QUESTION 1d

We need to simplify the ratio:


`72 {x}^(5):9 {x}^(7)`

We divide both terms in the ratio by;


`9 {x}^(5)`

This gives us:


`8:{x}^(2)`

QUESTION 1e

If the ratios were negative, then the ratio becomes:


`72 {x}^( - 5):9 {x}^( - 7)`

We divide each term of the ratio by,


`9 {x}^( - 7)`

This gives us;


`8{x}^( 2):1`

Yes,that will change the answer.


QUESTION 2a


The given trinomials are;


`{x}^( 2)+7x-8`

and


`2{x}^( 2)-7x+1`

The sum of two trinomials is always a trinomial is a false statement.

Question 2b)


We add the two trinomials to get,


`3{x}^( 2)-7`

This is a binomial.