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Effectus [21]
3 years ago
5

true or false: we want the leading coeffient of a polynomial to be a positive number whenever possible

Mathematics
2 answers:
EastWind [94]3 years ago
4 0
That is false... coefficients in polynomials can lead in either positive or negative 
levacccp [35]3 years ago
4 0
The leading coefficient should be positive whenever possible, true.
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PLEASE HELP I´LL GIVE BRAINLIEST AND 50 POINTS
Maurinko [17]

Answer:

X = -1

Step-by-step explanation:

because if X is greater than -2 then it is -1 because it is the closest to 0 that is why it is -1 > -2 even though you may think that -2 is greater than -1  it's not

6 0
2 years ago
Read 2 more answers
Write the polynomial in factored form as a product of linear factors f(r)=r^3-9r^2+17r-9
adelina 88 [10]

Answer:

  f(r) = (x -1)(x -4+√7)(x -4-√7)

Step-by-step explanation:

The signs of the terms are + - + -. There are 3 changes in sign, so Descartes' rule of signs tells you there are 3 or 1 positive real roots.

The rational roots, if any, will be factors of 9, the constant term. The sum of coefficients is 1 -9 +17 -9 = 0, so you know that r=1 is one solution to f(r) = 0. That means (r -1) is a factor of the function.

Using polynomial long division, synthetic division (2nd attachment), or other means, you can find the remaining quadratic factor to be r^2 -8r +9. The roots of this can be found by various means, including completing the square:

  r^2 -8r +9 = (r^2 -8r +16) +9 -16 = (r -4)^2 -7

This is zero when ...

  (r -4)^2 = 7

  r -4 = ±√7

  r = 4±√7

Now, we know the zeros are {1, 4+√7, 4-√7), so we can write the linear factorization as ...

  f(r) = (r -1)(r -4 -√7)(r -4 +√7)

_____

<em>Comment on the graph</em>

I like to find the roots of higher-degree polynomials using a graphing calculator. The red curve is the cubic. Its only rational root is r=1. By dividing the function by the known factor, we have a quadratic. The graphing calculator shows its vertex, so we know immediately what the vertex form of the quadratic factor is. The linear factors are easily found from that, as we show above. (This is the "other means" we used to find the quadratic roots.)

7 0
3 years ago
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Fantom [35]

Answer:

80

Step-by-step explanation:

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2 years ago
Ms. Erickson is going to see the hot air balloons in Albuquerque, New Mexico.
maks197457 [2]

Answer:

60

Step-by-step explanation:

You have to multiply the top and bottom of the fraction (2/5) by 30 so the denominator will be 150. You also have to multiply the top by 30 (2 times 30). The answer is 60 will be rainbow colored!

2 x 30 = 60

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2 years ago
Find the missing digit of the following UPC code<br>0, 2, 8, 5, 0 ,0, 1, 1, 0, 7, 0 ■​
olga nikolaevna [1]
It’s the square and the number woidl be 0
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