All categories

3 years ago

According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function?

Mathematics

2 answers:

RideAnS [48]3 years ago

4 0

Three! -7/9, -1/4, and -4/3

garri49 [273]3 years ago

3 0

Answer with Step-by-step explanation:

The fundamental theorem of algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root. This includes polynomials with real coefficients, since every real number can be considered a complex number with its imaginary part equal to zero.

Hence, the given polynomial equation has atleast 1 real root and atmost 3 real roots

(9x + 7)(4x + 1)(3x + 4) = 0

On solving this, we get

9x+7=0 or 4x+1=0 or 3x+4=0

i.e. x= -7/9 or x= -1/4 or x= -4/3

As we can see all the roots are real

Hence, number of real roots are:

You might be interested in

The histogram below shows information about the number of hamburgers students ate in a month:

Travka [436]

The given histogram represents the number of hamburgers students ate in a month :

From the histogram we can conclude the following:
(1) 8 students ate (0 - 4) hamburgers
(2) 3 students ate (5 - 9) hamburgers 
(3) 2 students ate (10 - 14) hamburgers

note: we don't know how many students ate exactly 5 hamburgers.

So, the answer

The information which is provided in the histogram

The number of students who ate 10 hamburgers or more

7 0

2 years ago

Read 2 more answers

M<MRT 133. What is m<MRN?

liberstina [14]

Answer:

MRN+NRT=MRT

2g-2+4g-9=133

6g-11=133

6g=133+11

6g=144

g=144/6

g=24

MRN=2g-2

=2(24)-2

=48-2

=46°

Hope it helps:-)

4 0

3 years ago

Alright, here's one for Algebra:

Wewaii [24]

Let x= number rows
Then x + 5 = number of seats per row

x(x+5) = 126
X^2 + 5x = 126
x^2 + 5x -126 = 0; now factor or use quadratic:
(x+14)(x-9) = 0; so the answers are either -14, or 9, and since -14 is not possible in this case because you can't have a negative number of rows, the answer is 9 rows.

Check work: number of rows = 9, number of seats per row = 9+ 5= 14, and 9 x 14 = 126

3 0

2 years ago

Round to the nearest hundredth (Geometric Series problem)

WITCHER [35]

Answer:

15.98

Step-by-step explanation:

∑₁¹⁰ $8(\frac{1}{4} )^{n-1}$

$=8[1+\frac{1}{4} +\frac{1}{16} + ........ +t_{10}]$

We have to use the formula of sum of a G.P. series with common ratio r < 1.

If the first term is a, the common ratio is r and the number of terms is n then the sum [a + ar + ar² + ar³ + ......... up to n terms] is given by

$[a \times\frac{1-r^{n} }{1-r}]$