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.