1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Valentin [98]
2 years ago
10

What must be true in order for a term x – a to be a factor of a polynomial f(x)?

Mathematics
1 answer:
gladu [14]2 years ago
6 0

Answer:

Option B will be the correct one.

Step-by-step explanation:

The factor of a polynomial, y = f(x) is obtained by making f(c) = 0 and then solving the equation f(c) = 0 for c and then from the obtained value of c we say (x - c) is a factor of the polynomial y = f(x).

Now, on the reverse, the term (x - a) will be a factor of a polynomial, y = f(x), if and only if f(a) = 0.

Therefore, option B will be the correct one. (Answer)

You might be interested in
Convert 7.82km to centimeters and 4871 mm to centimeters​
nasty-shy [4]

Answer:

7.82km = 782000cm

4871mm = 487.1

For the Millimeter one you divide the length value by 10 and for the kilometer one you multiply the length value by 100000.

4 0
3 years ago
What is an equation of the line that passes through the points (-8, 2) and (-4, -3)?
Alexus [3.1K]

Answer:

y = -5/4x - 8

Step-by-step explanation:

Slope m = (y2-y1)/(x2-x1)

m = (-3 - 2)/(-4 - -8) = -5/4

Given (-8,2)

y = mx + b

2 = -5/4(-8) + b

2 = 10 + b

b = -8

y = -5/4x - 8

4 0
2 years ago
An example of dependent events is drawing a red marble out of one jar and then drawing a
sladkih [1.3K]

Answer:

Second Option:

"green marble out of the same jar, without replacing the first marble"

Step-by-step explanation:

Two events r and s are independent if the probability that r occurs does not affect the probability that s occurs.

When choosing an object of some color b from a jar with n objects where there are x objects of the desired color b, the probability of obtaining 1 object of color b when randomly selecting an object from the jar is:

P_1 =\frac{x}{n}

If after taking the object it does <em>not return</em> it to the jar (without replacement) then, now the probability of obtaining an object of color b is:

P_2 = \frac{x-1}{n-1}   if the one selected in the first trial was the color b.

P_2 = \frac{x}{n-1}   if the one selected in the first test was not  the color b

Note that now the probability P <em>depends on the result obtained in the previous test.</em>

<em>This event is </em><em>dependent</em><em>.</em>

However, if by take object b in the first test, and the object is <em>returned</em> to the jar, and then the second test is made, then

P_1 = P_2.

The probability  does <em>not depend on the result of the first trial</em>. The same happens if the objects are taken from <em>different jars</em>.

<em>These would be </em><em>independent</em><em> events.</em>

Finally the correct option is the second option.

5 0
3 years ago
There are many ways to produce crooked dice. To load a die so that 6 comes up too often and 1 , which is opposite 6 , comes up t
Andreas93 [3]

Answer:

1            2                  3             4            5       6

2 ÷ 15   1 ÷ 6           1 ÷ 6        1 ÷ 6     1 ÷ 6    1 ÷ 5

Step-by-step explanation:

As it is mentioned in the question that the probability of faces like 2,3,4,5 are not affected so in this case

P(2) = P(3) = P(4) = P(5) = 1 ÷ 6

And,  P(6) = 0.2

As we know that

P(1) + P(2) +P(3) +P(4) +P(5) +P(6) = 1

This results P(1) = 2 ÷ 15

So,

1            2                  3             4            5       6

2 ÷ 15   1 ÷ 6           1 ÷ 6        1 ÷ 6     1 ÷ 6    1 ÷ 5

Hence, the correct option is 2nd

4 0
3 years ago
Xiao’s teacher asked him to rewrite the sum 60+90 as a product of GCF of two numbers and A sum . xiao wrote 3(20+30.what mistake
maks197457 [2]

The first thing we must do for this case is find the factors of each of the numbers.

We have then:

60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Therefore the GCF is given by:

GFC = 30

So, by rewriting the sum we have:

60 + 90 = 30 (2 + 3)

The error is not having written the GCF multiplying.

Answer:

Xiao did not write the sum as the product of GCF and the sum of two numbers.

The correct expression is:

60 + 90 = 30 (2 + 3)

3 0
3 years ago
Other questions:
  • Maggie is having the flooring replaced in her kitchen, living room, and master bedroom.
    5·2 answers
  • If you do this you are officially skilled: (SAT Prep) In the figure, if PN = LN, NP Is parallel to MQ, and QL bisects ∠PQM, what
    9·2 answers
  • Similar triangles help!!
    8·1 answer
  • Evaluate the summation of 2 n plus 5, from n equals 1 to 12..
    8·1 answer
  • How do I find the measure of angle a and b a different way?
    8·1 answer
  • 2. Jon has $45.00. He plans to spend 4/5 of his money on sports
    5·2 answers
  • I also need help on these last 2(number 20 and 9)
    13·2 answers
  • Please help me I'm so bad at math and doing AFDA really doesn't help.. Its quadratic equations matching solution sets.
    13·1 answer
  • Write an algebraic expression for 15 increased by three times a number n
    8·2 answers
  • A 180 ​-inch is cut into two pieces. One piece is five times the length of the other. Find the length of the shorter piece
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!