2 years ago

What is the degree of the resulting polynomial when a 3rd degree binomial is multiplied by a 4th degree trinomial?

Mathematics

1 answer:

11Alexandr11 [23.1K]2 years ago

5 0

A 3rd degree polynomial of any sort times a 4th degree polynomial of any sort will result in a 7th degree polynomial.

$\left(x^3 +...\right)\left( x^4 + ...\right) = x^7 + ...$

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In the expression (ax+b)*(cx^2+dx+e), find two set of values of a,b,c,d and e so that the coefficient of x^3and x terms after ex

Brilliant_brown [7]

Answer:

2, 0, 2, 3, 5

1, 2, 4, 0, 5

Step-by-step explanation:

(ax + b)(cx² + dx + e)

acx³ + adx² + aex + bcx² + bdx + be

2(2)x³ + 2(3)x² + 2(5)x + 0 + 0 + 0

4x³ + 6x² + 10x

a = 2

b = 0

c = 2

d = 3

e = 5

1(4)x³ + 1(0)x² + 1(10)x + 2(4)x² + 0 + 10

4x³ + 8x² + 10x + 10

a = 1

b = 2

c = 4

d = 0

e = 5

7 0

2 years ago

Tropical forests are being lost at the rate of 5 million hectares per year. how many hectares per day is that? how many hectares

katrin [286]

5,000,000/365= 13,698.630137 hectatres per day /1440 = 9.5129375951388..... hectares per minute

365 days in a year
1440 minutes in a day (24hrs)

7 0

3 years ago

Is 500 is 10 times as much as 50

12345 [234]

Yes, since 50 x 10 = 500.

8 0

3 years ago

Read 2 more answers

The slope, m, of a linear equation can be found using the formula <img src="https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%

Svetradugi [14.3K]

Answer:

Answer c: $m(x2 - x1) + y1 = y2$

Step-by-step explanation:

Hi there!

Let´s start writting the formula

$m = \frac{y2 -y1}{x2-x1}$

If we multiplicate both sides by (x₂ - x₁):

$m(x2 - x1) = y2 - y1$

Then if we add y₁ to both sides of the equation:

$m(x2 - x1) + y1 = y2$

Then, the right answer is the answer c)

Have a nice day!

4 0

3 years ago

Do you mean 15-n=11 1/2

svetlana [45]

i think youre on the wrong thing

3 0

3 years ago