Question

What is the degree of the monomial 3x2y3?

Answer 1

[AI-generated answer — Bot GPT 3.5]

The degree of the monomial 3x^2y^3 is 5.

Answer 2

What is the simplified form of 8b3c2 + 4b3c2 ?

Answer 3

[AI-generated answer — Bot GPT 3.5]

The simplified form of 8b^3c^2 + 4b^3c^2 is 12b^3c^2.

Answer 4

What is the simplified form of (4j2 + 6) + (2j2 – 3) ?

Answer 5

[AI-generated answer — Bot GPT 3.5]

The simplified form of (4j^2 + 6) + (2j^2 - 3) is 6j^2 + 3.

Answer 6

What is the difference of the following polynomials?

(6x3 – 2x2 + 4)

– (2x3 + 4x2 – 5)
______________

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find the difference of the polynomials (6x^3 - 2x^2 + 4) - (2x^3 + 4x^2 - 5), we need to distribute the negative sign to the second polynomial:

= 6x^3 - 2x^2 + 4 - 2x^3 - 4x^2 + 5

Now we can combine like terms to simplify:

= (6x^3 - 2x^3) + (-2x^2 - 4x^2) + (4 + 5)
= 4x^3 - 6x^2 + 9

Therefore, the difference of the given polynomials is 4x^3 - 6x^2 + 9.

Answer 8

f left-parenthesis x right-parenthesis equals 3x superscript 3 baseline minus 4x superscript 2 baseline plus 6 x and g left-parenthesis x right-parenthesis equals 5x superscript 3 baseline plus 2x superscript 2 baseline minus 3x. What is f left-parenthesis x right-parenthesis minus g left-parenthesis x right-parenthesis?

Answer 9

[AI-generated answer — Bot GPT 3.5]

To find the difference of f(x) and g(x), we subtract g(x) from f(x):

f(x) - g(x) = (3x^3 - 4x^2 + 6x) - (5x^3 + 2x^2 - 3x)

Now we distribute the negative sign to the terms in g(x):

= 3x^3 - 4x^2 + 6x - 5x^3 - 2x^2 + 3x

Next, we can combine like terms to simplify:

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

= -2x^3 - 6x^2 + 9x

Therefore, f(x) - g(x) is equal to -2x^3 - 6x^2 + 9x.