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Trava [24]
3 years ago
6

What is the possible rational roots for this polynomial 6x³+5x²+10x+3=0

Mathematics
1 answer:
8090 [49]3 years ago
3 0

Answer:

See below.

Step-by-step explanation:

Using the Rational Roots Theorem:

Factors of 3:   1, 3  ( = p).

Factors of 6:  1,2,3,6 ( = q).

Possible real  roots are a 1 or 3 from  p / q = +/- 1/1, +/- 3/1 , +/-1/2,  +/- 1/3 , +/- 1/6, +/- 3/2.

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What is the answer please.... need help
mina [271]

Answer:

f\left(x\right)=x^3-6x^2+3x+10 is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.

Step-by-step explanation:

Given the function

f\left(x\right)=x^3-6x^2+3x+10

As the highest power of the x-variable is 3 with the leading coefficients of 1.

  • So, it is clear that the polynomial function of the least degree has the real coefficients and the leading coefficients of 1.

solving to get the zeros

f\left(x\right)=x^3-6x^2+3x+10

0=x^3-6x^2+3x+10              ∵  f(x)=0

as

Factor\:x^3-6x^2+3x+10\::\:\left(x+1\right)\left(x-2\right)\left(x-5\right)=0

so

\left(x+1\right)\left(x-2\right)\left(x-5\right)=0    

Using the zero factor principle

if  ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

x+1=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0

x=-1,\:x=2,\:x=5

Therefore, the zeros of the function are:

x=-1,\:x=2,\:x=5

f\left(x\right)=x^3-6x^2+3x+10 is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.

Therefore, the last option is true.    

8 0
3 years ago
What is the percent increase from 250 to 900?
brilliants [131]
900 - 250 = 650

650 / 250 = 13 / 3 = 2.6 = 260%
5 0
3 years ago
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Just some questions I need answered!
Anni [7]

4z>-60

divideby 4

z>-15


x+19 <=-5

subtract 19 from each side

x<= -24


7 0
3 years ago
What is the range of the function shown in the graph below? answer type: interval, all real values except one, all real values e
Sever21 [200]

Answer:

Hey there!

The range is the possible y values, so the range of this graph would be all real numbers less than or equal to -6.

Let me know if this helps :)

6 0
4 years ago
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Can you help me with letter C? ​
Ierofanga [76]

Answer:

lets count the hundreths 20 + 28 = 48 tenths which would be .48 as a decimal then it would be 48/100, then 480% I think please wait for more responses if needed.

4 0
3 years ago
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