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yarga [219]
3 years ago
13

Is there a way to simplify the process of plugging in factors through synthetic division to find the zeros of a polynomial? I am

aware of Descarte's Rule of Signs, but is there any other way to make it faster than guess-and-check?
Mathematics
1 answer:
Iteru [2.4K]3 years ago
4 0
Yes you can use the discriminant of a quadratic/polynomial. For instance, if
b^2 - 4ac = 0 there is one real root. If b^2 - 4ac > 0 there are two real roots and ib^2 - 4ac < 0  there are no real roots

The discriminant comes from the quadratic equation, which is the following.
x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}
You might be interested in
Question b and c thank you.<br>​
Alenkasestr [34]

Answer:

1/(h+1) +2 = k

(k-2) = 1/ (h +1)

(k-2) x (h+1) = 1

h+1 = 1/(k-2)

h= 1/(k-2) -1

\frac{px}{q}=p+q\\ px = pq + q^{2} \\px - pq=  q^{2} \\p(x-q) = q^{2} \\p=\frac{q^{2}}{x-q} \\

Step-by-step explanation:

7 0
3 years ago
Percent change when a price of £50 is decreased to £48
spin [16.1K]

Answer:

4%

Step-by-step explanation:

8 0
3 years ago
Find the slope of the line through the given points. (3, 7) and (3, −8)
I am Lyosha [343]

Okay, so we will be using the formula y1-y2/x1-x2:

7--8/3-3=15/0

Now, we can't divide by zero so we can just say the slope of the line is 0

7 0
3 years ago
Approximately how many times greater is 1.2×103 than 4×10−1 ?
Galina-37 [17]
3000 Quick answer
Let your calculator do the work. Be careful how you enter this in. (Are you supposed to estimate it? We'll get around to that.) Write it like this.

1.2 * 10^3 divided by 4 * 10^-1 Your calculator will do this nicely. The trick is the - 1. Put it in the calculator like this.
1.2 
*
10
^
3
=
÷
4
*
10
^
(-1) 
= The calculator should read 3000
That's one way to do it. Another way is just to do it all by hand. The numbers are easy enough
1.2 * 10^3 means shift the decimal 3 places right. 1 200 which is 1200
4 * 10^-1 can be handled 2 ways 10 to the minus 1 in the denominator becomes 10^1 in the numerator. Notice the sign change on the 10 when you shift if :it becomes plus! That's why you did it.

1200 * 10^1 
12000

Now you are still left with 4 in the denominator.
12000/4 = 3000. 

The first method always works. The second one gives you a better understanding of how powers work. There are other ways of doing this, but these are the two best, I think.
4 0
3 years ago
A system of equations is shown below. y = -5x - 2 y=3x - 4 What is the solution to the system of equations?​
marishachu [46]

Answer:

the answer is (x,y) (1/4 -13/4)

8 0
3 years ago
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