All categories

3 years ago

How many real and complex roots exists for a polynomial?

Mathematics

1 answer:

solmaris [256]3 years ago

7 0

Step-by-step explanation:

whenever a complex number is a root of a polynomial with real coefficients, its complex conjugate is also a root of that polynomial. as an example, we'll find the roots of the polynomial..

x^5 - x^4 + x^3 - x^2 - 12x + 12.

the fifth-degree polynomial does indeed have five roots; three real, and two complex.

You might be interested in

Solve :1/1-x^a-b +1/1-x^b-a

Olegator [25]

Answer:

Step-by-step explanation:

$\frac{1}{1-x^{a-b}}+\frac{1}{1-x^{b-a}}\\\\\frac{1}{1-x^{b-a}}=\frac{1}{1-x^{-(a-b)}}=\frac{1}{1-\frac{1}{x^{a-b}}}\\=\frac{1}{\frac{x^(a-b)-1}{x^(a-b)}}=\frac{x^{a-b}}{x^{a-b}-1}\\\\=\frac{x^{a-b}}{-(1-x^{a-b})}=-\frac{x^{a-b}}{1-x^{a-b}}\\\\\frac{1}{1-x^{a-b}}+\frac{1}{1-x^{b-a}}=\frac{1}{1-x^{a-b}}-\frac{x^{a-b}}{1-x^{a-b}}\\\\=\frac{1-x^{a-b}}{1-x^{a-b}}=1$

8 0

3 years ago

Can someone help me please??? :((

oksian1 [2.3K]

Answer:

25 months

Step-by-step explanation:

when the rent, y = 0, we have,

y = -200.22x + 5014.20

y = 0

0 = -200.22x + 5014.20

200.22x = 5014.20

x = 5014.20 ÷ 200.22

x = 25.0434

x = 25(appx.)

Sorry, I don't know what you mean by interpolation and extrapolation:(

3 0

3 years ago

Which input will result in an output of 12 for the following function? d (x) = x² + 3

Flauer [41]

Answer:

$x=\pm 3$

Step-by-step explanation:

$12=x^2 + 3 \\ \\ x^2 = 9 \\ \\ x=\pm 3$

7 0

2 years ago

Marilyn carries a tip calculator

k0ka [10]

And? What happens to her and the calculator?

4 0

4 years ago

Read 2 more answers

Help what is the answer for this

grandymaker [24]

Answer:

A) <SQT = 36 degrees

B) <QRW = 36 degrees

C)<PRV = 72 degrees

Step-by-step explanation:

A) <SQT = 36 degrees (< SQT and < PQR are vertically opposite angles, and vertically opposite angles are equal)

B) <QRW = 36 degrees ( <QRW and < SQT are corresponding angles since they lie on the same side of the transversal across the parallel lines. Corresponding angles are equal)

C)<PRV = 72 degrees( <PRV is the exterior base angle to < PQR and exterior base angles, are always twice their interior correxpondents)

8 0

3 years ago