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Katarina [22]
3 years ago
7

Factor: x(y − 1) + y(y − 1)

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
6 0
The answer is A I hope
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Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1, and roots of 2-√6 , 2+ √6
horsena [70]

Answer:

x^{4} -18x^{3}+104x^{2} -172x-100

Step-by-step explanation:

The 3 roots are given out of which 2 are real and 1 is imaginary. For a polynomial of least degree having real coefficients, it must have a complex conjugate root as the 4th root. Therefore, based on 4 roots, the least degree of polynomial will be 4. Finding the polynomial having leading coefficient=1 and solving it based on multiplication of 2 quadratic polynomials, we get:  

\\\\x_{1} = 2-\sqrt{6} \\x_{2} = 2+\sqrt{6} \\x_{3}=7-i \\x_{4}=7+i \\\\P(x)=1(x-x_{1})(x-x_{2} )(x-x_{3} )(x-x_{4} ) \\\\=(x-(2-\sqrt{6}))(  x-(2+\sqrt{6} )) (x-(7-i))( x-(7+i))\\=((x-2)+\sqrt{6})( ( x-2)-\sqrt{6} ) ((x-7)+i)( (x-7)-i)\\=((x-2)^{2} -(\sqrt{6} )^{2} )((x-7)^{2}-(i)^{2})\\=(x^{2} -4x-2)(x^{2} -14x+50)\\=x^{4} -18x^{3}+104x^{2} -172x-100\\

7 0
3 years ago
If a person wanted to purchase his or her dream car, and keep it for many years, is leasing or buying the better option? Why
Pani-rosa [81]

Answer:

Leasing a car is the better option if they only want to keep it for a certain amount of years. This is because with leasing you are only paying the depreciation of the car instead of the buying price. Also, it benefits people that can't pay the down payment for the car.

7 0
3 years ago
Read 2 more answers
5/8 divide by 1/4  simplest form
katrin [286]
(5/8):(1/4)= 5/8 • 4= 20/8=5/2 = 2 and 1/2
6 0
3 years ago
Read 2 more answers
7 × (–3) × (–2)2 = ?
andre [41]

Answer:

84

Step-by-step explanation:

<u>Order of operations (Parentheses first, exponents next, then multiplication, etc.)</u>

-3 * -2 = 6

<u>Multiply</u>

7 * 6 = 42

42 * 2 = 84

4 0
3 years ago
Read 2 more answers
A data set includes the following SAT scores: 340, 560, 480, 680, 700. Suppose an additional score of 700 is inserted in the dat
DIA [1.3K]

Answer:

Step-by-step explanation:

Let's first arrange it in ascending order :

340, 480, <u>560</u>, 680, 700

<u>560</u> is clearly the median.

Now add an additional score of 700 to the data :

340, 480, <u>560, 680</u>, 700 ,700

<u>560, 680</u> is separating both halves but is not the median

Median = (560+680)/2

             = 1240 / 2

Median  = 620

7 0
3 years ago
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