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Sever21 [200]
3 years ago
10

Simplify the polynomial below (a^3 + 4a^2 − 7) + (3a^3 − 2a^2 + 1)

Mathematics
1 answer:
klasskru [66]3 years ago
6 0
(a^3+4a^2-7)+(3a^3-2a^2+1)=a^3+4a^2-7+3a^3-2a^2+1\\\\=(a^3+3a^3)+(4a^2-2a^2)+(-7+1)=4a^3+2a^2-6
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Show why x−3 is a factor of m(x)=x3−x2−5x−3. Justify your answer. You can show this using remainder theorem, long division, synt
Marat540 [252]

The factors of a polynomial function are the zeros of the function

It is true that x - 3 is a factor of m(x) = x^3 - x^2 - 5x - 3

<h3>How to show why the x - 3 is a factor</h3>

The function is given as:

m(x) = x^3 - x^2 - 5x - 3

The factor is given as:

x - 3

Set the factor to 0

x - 3 = 0

Solve for x

x = 3

Substitute 3 for x in the function

m(3) = 3^3 - 3^2 - 5(3) - 3

Evaluate

m(3) =0

Since the value of m(3) is 0, then x - 3 is a factor of m(x) = x^3 - x^2 - 5x - 3

Read more about factors at:

brainly.com/question/11579257

7 0
2 years ago
I don’t know how to simplify this equation
yanalaym [24]

Answer:

7^5

Step-by-step explanation:

According to the Product Rule for Exponents, \frac{a^m}{a^n} = a^{m-n}

a = 7

m = 9

n = 4

So,

\frac{7^9}{7^4} = 7^{9-4} = 7^5

So, the answer is 7^5.

Hope this helps!!!

Please mark me as brainliest!!!

7 0
2 years ago
Read 2 more answers
Sarah bought a television that cost $805.She plans to make equal payments of $38 each month until the television is paid in full
yawa3891 [41]

Answer:

Step-by-step explanation:

805/38= 21 7/38

So that is 21 full payments of $38.00 and one of $7.00

8 0
3 years ago
Below is a magic square, meaning that the sum of the numbers in each row, in each column, and in each of the $2$ main diagonals
Mariulka [41]

The property  of equality of the rows, columns, and diagonals in the magic

square can be used to find the value of <em>n</em>.

The value of <em>n</em> is 6

Reasons:

The magic square can be presented as follows;

\begin{array}{|c|c|c|}n-2&3&n + 2\\n + 3&n - 1&1\\2&2 \cdot n - 5&n\end{array}\right]

Given that the sum of the numbers in each row and in each column and in

each of the two diagonals are equal, to find the value of <em>n</em>, two rows having

different number of the variable <em>n</em> can be equated as follows;

The top row = n - 2 + 3 + n + 2 = The bottom row = 2 + 2·n - 5 + n

n - 2 + 3 + n + 2 = 2 + 2·n - 5 + n

2·n + 3 =  3·n - 3

3·n - 3 = 2·n + 3 (symmetric property)

3·n - 2·n = 3 + 3

n = 6

Learn more here:

brainly.com/question/17355019

brainly.com/question/20477897

brainly.com/question/8183549

4 0
3 years ago
What is (2x2 + 4x − 3)(x2 + 2) distributived ?
Effectus [21]

Answer:

2x⁴ + 4x³ + x² + 8x - 6

Step-by-step explanation:

(2x² + 4x - 3)(x² + 2)

2(x² + 2) · x² + 4x(x² + 2) - 3(x² + 2)

2x⁴ + 4x² + 4x(x² + 2) - 3(x² + 2)

2x⁴ + 4x² + 4x³ + 8x - 3x² - 6

2x⁴ + x² + 4x³ + 8x - 6

2x⁴ + 4x³ + x² + 8x - 6

6 0
3 years ago
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