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Anuta_ua [19.1K]
3 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]3 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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A line passes through 2, -1 and 4, 5 what is the equation
SVEN [57.7K]

y1 - y2 / x1 - x2

-1 - 5 / 2 - 4

-6/-2

3

y = mx + b

-1 = 3(2) + b

-1 = 6 + b

-7 = b

y = 3x - 7

Hope this helps! ;)

8 0
3 years ago
Read 2 more answers
One serving of the food product contains 1g total saturated fat or 5% daily value (DV) for saturated fat. What is the daily valu
Leona [35]

Answer:

The daily value for saturated fat is 20g.

Step-by-step explanation:

Percentage problems can be solved by rule of three

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

A percentage problem is an example where the relationship between the measures is direct.

The problem states that 1g is 5% of the daily value for saturated fat. The daily value(100%) for saturated fat is x, so:

1g - 5%

xg - 100%

5x = 100

x = \frac{100}{5}

x = 20g

The daily value for saturated fat is 20g.

6 0
3 years ago
Which is the best approximation for the value 140
zzz [600]
140 is a composite number. Factor pairs: 140 = 1 x 140, 2 x 70, 4 x 35, 5 x 28, 7 x 20, 10 x 14. Factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140. Prime factorization: 140 = 2 x 2 x 5 x 7, which can also be written 140 = 2² x 5 x 7
4 0
3 years ago
A loan worth $1000 collects simple interest each year for 6 years. At the end of
Goshia [24]

Answer:

B

Step-by-step explanation:

Use a calculator and do it step by step.

8 0
2 years ago
A number d minus 2 is less than -1 ?
tamaranim1 [39]

d - 2 < -1 is how this inequality would be displayed.

However, we can solve for the value of d by treating this like a standard algebraic equation.

d - 2 < -1

<em><u>Add 2 to both sides.</u></em>

d < 1

The value of d is less than 1.

Let me know if you have any other questions.

5 0
2 years ago
Read 2 more answers
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