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Olegator [25]
3 years ago
13

Determine the total number of roots of each polynomial function g(x) = 5x - 12x2 + 3

Mathematics
2 answers:
Amanda [17]3 years ago
6 0

Answer:- The total number of roots in the given polynomial function is 2.


Explanation:-

We know that corollary of Fundamental Theorem of Algebra tells that polynomial will have exactly as many roots(m) as its degree(m>0).

The given polynomial function g(x)=5x-12x^2+3 is a quadratic polynomial with degree 2.

Thus by corollary of Fundamental theorem of algebra

The total number of roots in the given polynomial function must be 2.

Arada [10]3 years ago
4 0
The answer is 2,,,,,,,,,
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What are the possible numbers of positive, negative, and complex zeros of f(x) = x6 + x5 + x4 + 4x3 − 12x2 + 12?
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If y varies directly as x and y-21 when x<br> is 7, find x when y = -5.
klasskru [66]

Step-by-step explanation:

Since, y varies directly as x:

\therefore \: y = kx..(1) \\ (k = constant \: of \: proportionality) \\ at \: y = 21 \: and \: x = 7 \\ 21 = k \times 7 \\ k =  \frac{21}{7}  = 3 \\ plugging \: k = 3 \: in \: equation \: (1) \\ y = 3x..(2) \\ plugging \:  \: y =  - 5  \: in \: (2)\\  - 5 = 3x \\ x =  \frac{ - 5}{3}  \\   \:  \:  \:  \:  \:  \: \huge \red{ \boxed{x =  -  \frac{5}{3} }}

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2(b+3c) equivalent expressions<br>Options: <br><br>3(b+2c)<br>(b+3c) +(b+3c)<br>None of the above
Lana71 [14]
2(b + 3c) → We first need to simplify this.

Simplify.

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1st Option : 

3(b + 2c)

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This is INCORRECT, as it is not equal to 2b + 6c.

2nd Option :

(b + 3c) + (b + 3c)

Simplify.

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(b + 3c) + (b + 3c)  → Answer

~Hope I helped!~



5 0
3 years ago
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