All categories

3 years ago

What is the degree of the polynomial below? 4x^3+3x^2+6x+5 A. 0 B. 3 C. 1 D. 2

Mathematics

2 answers:

Tamiku [17]3 years ago

8 0

Answer: Option B.

Step-by-step explanation:

The polynomials con be classified according to the numbers of terms they have and according to the highest exponent.

The degree of a polynomial can be determined by the exponents of the variable. The highest exponent will be the degree of the polynomial.

Then, for the given polynomial ( $4x^3+3x^2+6x+5$ ), you can note that the highest exponent of the variable x is: 3.

Therefore, the degree of the polynomial $4x^3+3x^2+6x+5$ is:

3 (This is the option B).

alexira [117]3 years ago

6 0

Answer:

B. 3

Step-by-step explanation:

The degree of this polynomial is based on the highest power on the exponents (if there is more than one variable, it is based on the sum)

The highest power is 3, so the degree is 3

You might be interested in

Help me pleseeeeeeeee

Licemer1 [7]

Answer: each number represents the sum of the two numbers

Step-by-step explanation:

I’ve never done this question before but bright to sum of the numbers together

6 0

3 years ago

Find the midpoint of the segment with the following endpoints.<br> (4,2) and (7,6)

Tema [17]

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

$M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(4,2) and (7,6)

The midpoint is

$M = ( \frac{4 + 7}{2} \: , \: \frac{2 + 6}{2} ) \\ = ( \frac{11}{2} \: , \: \frac{8}{2} )$

We have the final answer as

$( \frac{11}{2} \: , \: 4)$

Hope this helps you

4 0

3 years ago

would someone be able to explain to me how to solve these problems? I don't need the solutions, I just need an explanation. I ne

Leni [432]

The first 3 are examples of the difference of 2 squares so you use the identity
a^2 - b^2 = (a + b)(a - b)
x^2 - 49 = 0
so (x + 7)(x - 7) = 0
so either x + 7 = 0 or x - 7 = 0
giving x = -7 and 7.
Number 7 reduces to 3x^2 =12, x^2 = 4 so x = +/- 2
Number 8 take out GCf (d) to give
d(d - 2) = 0 so d = 0 , 2
9 and 10 are more difficult to factor
you use the 'ac' method Google it to get more details
2x^2 - 5x + 2
multiply first coefficient by the constant at the end
that is 2 * 2 = 4
Now we want 2 numbers which when multiplied give + 4 and when added give - 5:- -1 and -4 seem promising so we write the equation as:-

2x^2 - 4x - x + 2 = 0

now factor by grouping
2x(x - 2) - 1(x - 2) = 0

(x - 2) is common so

(2x - 1)(x - 2) = 0
and 2x - 1 = 0 or x - 2 = 0 and now you can find x.

The last example is solved in the same way.

8 0

3 years ago

If a cylinder has a height of 21 cm and a volume of 11,144 cm^3.

nataly862011 [7]

$\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\qquad 
\begin{cases}
h=height\\
r=radius\\
----------\\
h=21\\
V=11,144
\end{cases}\implies 11,144=\pi \cdot r^2\cdot 21$

solve for "r"

7 0

3 years ago

Marc showed 7 with this addition sentence 7=3+3+1. Use marc’s way to show these odd numbers with addition sentences . 5=

Doss [256]

The answer is: 5=3+1+1

3 0

3 years ago