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3 years ago

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:

Step-by-step explanation:

Order of operations (Parentheses first, exponents next, then multiplication, etc.)

-3 * -2 = 6

Multiply

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, 560, 680, 700

560 is clearly the median.

Now add an additional score of 700 to the data :

340, 480, 560, 680, 700 ,700

560, 680 is separating both halves but is not the median

Median = (560+680)/2

= 1240 / 2

Median = 620

7 0

3 years ago