All categories

2 years ago

Simplify the expression to a polynomial in standard form:

Mathematics

1 answer:

lukranit [14]2 years ago

7 0

Answer:

$-x^3+7x^2-6x-18$

Step-by-step explanation:

Use distributive property: $(-x+3)(x^2-4x-6)$

What is -x * x^2? Answer: -x^3

What is 3 * x^2? Answer: +3x^2

What is -x * -4x? Answer: +4x^2

What is 3* -4x? Answer: -12x

What is -x * -6? Answer: +6x

What is 3 * -6? Answer: -18

$-x^3+3x^2+4x^2-12x+6x-18$

Combine like terms, and your answer would be....

$-x^3+7x^2-6x-18$

Hope this helps :)

Have a great day!

You might be interested in

A rectangle flower bed is 9 feet wide and 12 feet long .what is the length of the diagonal?

BigorU [14]

Answer:

15 feet

Step-by-step explanation:

The question talks about;

A rectangular flower bed whose dimensions are 12 ft by 9 ft

We are required to determine the length of the diagonal

To answer the question, we need to know the following;

All the angles in a rectangle are right angles
A diagonal divides a rectangle into two right-angled triangles
The dimensions of the rectangle acts as the legs of right angled triangle.

Therefore;

Using Pythagoras theorem;

a² + b² = c²

Where, c is the hypotenuse (in this case the diagonal)

a and b are the shorter sides of the right-angled triangle

Therefore;

c² = 12² + 9²

c² = 144 + 81

= 225

c = √225

= 15

Therefore, the length of the diagonal is 15 feet

5 0

3 years ago

Which is a function?

ryzh [129]

B is the correct answer.

4 0

3 years ago

Read 2 more answers

Which polynomial correctly combines the like terms and puts the given polynomial in standard form? -5x^3y^3+8x^4y^2-xy^5-2x^2y^4

victus00 [196]

Given:

The polynomial is:

$-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5$

To find:

The simplified form of the given polynomial in standard form.

Solution:

We have,

$-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5$

Combining the like terms, we get

$=-5x^3y^3+8x^4y^2+(-2x^2y^4+3x^2y^4)+8x^6+(-xy^5-6xy^5)$

$=-5x^3y^3+8x^4y^2+x^2y^4+8x^6-7xy^5$

Now, rewrite this polynomial in standard form.

$=8x^6+8x^4y^2-5x^3y^3+x^2y^4-7xy^5$

Therefore, the required polynomial in standard form is $8x^6+8x^4y^2-5x^3y^3+x^2y^4-7xy^5$ .

8 0

3 years ago

Each minute, a faucet allows 4/9 gallons of water to enter a large tub, and the drain allows 8/9 gallons to leave the tub.

Ronch [10]

Answer:

Step-by-step explanation:

The amount of water in the bathtub per minute:4/9-8/9=-4/9;

liquid after:1/3* (-4/9)=-4/27

6 0

2 years ago

Meredith has 8 pens and 9 pencils. Brody has 4 pens and 9 pencils.

nikdorinn [45]

8/9 > 4/9
Meredith has more pens to pencils than Brody

6 0

3 years ago

Read 2 more answers