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Anuta_ua [19.1K]
4 years ago
15

How can you check to see if a value of x is a zero of the polynomial

Mathematics
1 answer:
Mila [183]4 years ago
6 0

Answer:

  substitute that value for x in the polynomial and see if it evaluates to zero

Step-by-step explanation:

A "zero" of a polynomial is a value of the polynomial's variable that make the expression become zero when it is evaluated. As an almost trivial example, consider the polynomial x-3. The value x = 3 is a zero because substituting that value for x makes the expression evaluate as zero.

  3 -3 = 0

___

Evaluating polynomials can be done different ways. Straight substitution for the variable is one way. Using synthetic division by x-a (where "a" is the value of interest) is another way. This latter method is completely equivalent to rewriting the polynomial to Horner form for evaluation.

__

In the attachment, Horner Form is shown at the bottom.

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Write the point-slope form of the equation of the line passing through the points (-5, 6) and (0, 1).
Y_Kistochka [10]
The point slope form:
y - y_1 = m(x - x_1)

We need to find the slope. To find the slope we can use the following formula:
\frac{y_2 - y_1}{x_2 - X_1}

Use the points <span>(-5, 6) and (0, 1) and plug it into our slope formula and solve:
</span>\frac{1 - 6}{0 - (-5)}
\frac{-5}{5} = -1

So our slope is -1 which means m = slope = -1 
Now that we have our slope lets create the point slope form

Our point slope form equation is y - y_1 = m(x - x_1) Remember 
m = slope = -1. Also, we are going to use the point (-5,6).

First insert the m = slope = -1 number where m is located
y - y_1 = -1(x - x_1)

Next, insert the -5 from (-5,6) where x_1 is located and the 6 from (-5,6) where y_1 is located.
y - y_1 = -1(x - x_1)
y - 6 = -1(x - (-5))
Now simplify 
y - 6 = -1(x - (-5))
y - 6 = -1(x +5) <-------Answer





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4 years ago
The number of hours students spent using
djyliett [7]
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3 years ago
Instructure.com
malfutka [58]

Answer:

40%

Step-by-step explanation:

Count the total numbers of tallies. How many tallies you got put over the total number of A&B

Example: A- III B- IIII Total number of the whole chart- IIIII IIIII IIIII

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I'm guessing you got the same question as me and my answer was 40%

4 0
3 years ago
Common core question please help!!!
Maru [420]
She has 648 shirts.

Work:
Lisa has 42 pineapples. 4 + 2 = 6
Johnny has 6 marbles.
42 + 4 + 2 + 6 = 54
54 + 5 + 4 = 63
63 + 6 + 3 = 72
But 72 is a multiple of 6!
Let's go further:
72 * 6 = 432

Now let's look at the word 'shirt'.
The middle letter is I.
I is the 9th letter of the alphabet.
Remember the number 72?
72*9 = 648
5 0
3 years ago
Consider z = 3StartRoot 3 EndRoot + 3i. What happens to the modulus and argument when z is raised to the 4th power?
vfiekz [6]

Answer:

Its A on edge

The modulus increases by a factor of 216, and the argument increases by StartFraction pi Over 2 EndFraction.

Step-by-step explanation:

8 0
3 years ago
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