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geniusboy [140]
3 years ago
12

Angie divides the polynomial function f(x)=x3+3x2−7x−21 by (x + 3). What can she conclude from the fact that the remainder is eq

ual to 0?
Mathematics
1 answer:
iren [92.7K]3 years ago
8 0

Answer:

See below

Step-by-step explanation:

<u>Given function</u>

  • f(x)=x³ + 3x²- 7x - 21

<u>We can find its factors:</u>

  • x³ + 3x² - 7x - 21 =
  • x²(x + 3) - 7(x + 3) =
  • (x² - 7)(x + 3)

We can conclude that the given polynomial function is fully divisible by (x + 3) and the quotient is (x² - 7)

Also one of zeros of the function is -3

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a cell phone company charges $80 per month for unlimited talk, text, and data. write an expression to determine the amount you h
Lunna [17]

Answer:

80x

Step-by-step explanation:

If you pay 80 a month then to find the total you have paid after any number of months you would multiply amount times time which in this case is 80

a constant is the a number on its own so in this case there would be none

a coefficient is the number in front of a variable. Since the equation is 80x the coefficient is 80

8 0
3 years ago
Use vieta's theorem to solve the problems.
Mnenie [13.5K]

Using Vieta's Theorem, it is found that c = 72.

<h3>What is the Vieta Theorem?</h3>
  • Suppose we have a quadratic equation, in the following format:

y = ax^2 + bx + c

  • The roots are p and q.

The Theorem states that:

p + q = -\frac{b}{a}

pq = \frac{c}{a}

In this problem, the polynomial is:

x^2 - 17x + c

Hence the coefficients are a = 1, b = -17.

Since the difference of the solutions is 1, we have that:

p - q = 1

p = 1 + q

Then, from the first equation of the Theorem:

p + q = -\frac{b}{a}

1 + q + q = 17

2q = 16

q = 8

p = 1 + q = 9

Now, from the second equation:

pq = \frac{c}{a}

72 = c

c = 72

To learn more about Vieta's Theorem, you can take a look at brainly.com/question/23509978

6 0
2 years ago
What is the answer to 2(x+4)-3
gizmo_the_mogwai [7]
2x+8-3
8-3=5
5/2= 2.5
4 0
3 years ago
Read 2 more answers
9(5x + 1) ÷ 3y
Vsevolod [243]

Answer:

Step-by-step explanation:

5x + 1 is a SUM.

3y is a TERM.

9(5x + 1) is a PRODUCT.

9 is a FACTOR of 9(5x + 1).

5x + 1

---------- is a QUOTIENT.

  3y

5 is the COEFFICIENT of x.

8 0
4 years ago
Read 2 more answers
Findthe domain of the function f(x) = √19-x​
Jet001 [13]

Answer:

(-∞,19)

Definition: The domain of a function is the set of input or argument values for which the function is real and defined

7 0
2 years ago
Read 2 more answers
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