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nataly862011 [7]
2 years ago
14

Determine the degree of the given polynomial x^2 ( 1 - x^3)

Mathematics
1 answer:
Ray Of Light [21]2 years ago
4 0

Answer:

\huge\boxed{\bf\:5}

Step-by-step explanation:

Polynomial = x^{2} (1 - x^{3}).

Before determining the degree of the polynomial, let's open the parentheses using the distributive property .

x^{2} (1 - x^{3})\\=\underline {x^{2} - x^{5}}

Degree is the highest exponential power in a polynomial  .

So, the degree of the given polynomial is 5.

\rule{150pt}{2pt}

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Write a polynomial function of least degree with integral coefficients that has the
frutty [35]

A polynomial function of least degree with integral coefficients that has the

given zeros  f(x)=x^4+x^3+9x^2+9x

Given

Given zeros are 3i, -1  and 0

complex zeros occurs in pairs. 3i is one of the zero

-3i is the other zero

So zeros are 3i, -3i, 0 and -1

Now we write the zeros in factor form

If 'a' is a zero then (x-a) is a factor

the factor form of given zeros

\:\left(x-3i\right)\left(x-\left(-3i\right)\right)\left(x-0\right)\left(x-\left(-1\right)\right)\\\left(x-3i\right)\left(x+3i\right)\left(x-0\right)\left(x+1\right)

Now we multiply it to get the polynomial

x\left(x-3i\right)\left(x+3i\right)\left(x+1\right)\\x\left(x^2+9\right)\left(x+1\right)\\x\left(x^3+x^2+9x+9\right)\\x^4+x^3+9x^2+9x

polynomial function of least degree with integral coefficients that has the

given zeros  f(x)=x^4+x^3+9x^2+9x

Learn more : brainly.com/question/7619478

6 0
3 years ago
X =10-y<br> sobre 2<br> x =6 + y<br> sobre 2<br> a =7b–4<br> sobre 8<br> a =3b + 6<br> sobre 6
ASHA 777 [7]

Answer:

dont know sry

Step-by-step explanation:

7 0
3 years ago
Pls help me with this :)<br><br><br> .
san4es73 [151]

Answer:

35 is the answer thank u 35 is a real answer

3 0
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Which inequality is represented by this graph? 0 - 345&gt; x O 0 -34.5 0 -355 cx​
julia-pushkina [17]

Answer:

Step-by-step explanation:

If x is the white dot on the graph:

From what it looks like, x is right between -35 and -34 x (which is -35.5).

If that is the case then none of the answers are correct since -35.5 is <u>equal or less</u> than x. (the sign looks like this:  "\leq" )

But if you have to choose one of the answers then number 4 (-35.5 < x) would be closest.

8 0
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Which of the following is the value of 2x' +5x+9 when x =10?
stealth61 [152]

Answer:

The correct answer is: 259.

7 0
3 years ago
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