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
Rasek [7]
3 years ago
12

Use synthetic division to determine if x+2 is a factor of f(x)=5x2+13x+6

Mathematics
1 answer:
Karolina [17]3 years ago
4 0

Answer:

x+2 is a factor of f(x)  = 5x^2 + 13x + 6

Step-by-step explanation:

To check: If (x+2) is a a factor of the polynomial f(x)  = 5x^2 + 13x + 6

We need to check if x  = -2 is the FACTOR of the given polynomial.

⇒ To show:  f (-2)  =  0

Now

f(-2)  = 5(-2)^2 + 13(-2) + 6\\=5(4) -26 + 6\\= 20 + 6 - 26\\= 26 - 26  = 0\\\implies f(-2) = 0

Since, f(-2) = 0

⇒  -2 is the ROOT of the Polynomial f(x).

⇒(x +2) is the factor of the given polynomial.

Hence, x+2 is a factor of f(x)  = 5x^2 + 13x + 6

You might be interested in
Write two expressions to show w increased by 4. Then, draw models to prove that both expressions represent the same thing.
Vinil7 [7]

Answer:Answer:

w + 4 and 4 + w

Step-by-step explanation:

Given phrase,

w is increased by 4,

That is, w + 4

By the commutative property of addition,

The expression would be,

4 + w

For drawing a model that shows w + 4

Take two boxes in which first shows w and second shows 4 and add them,

Similarly, for showing 4 + w, take first box that shows 4 and second box that shows w then add them.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which of the following describes the number below? 0.92479247..
kykrilka [37]

Answer:

I believe its D.

Rational Only

Step-by-step explanation:

4 0
3 years ago
Find limit as x approaches -3- of x/(sqrt(x^2-9)
gregori [183]
lim_{x \rightarrow -3} \frac{x}{x^2-9} =lim_{x \rightarrow -3} \frac{1}{2x} = \frac{1}{2(-3)} =- \frac{1}{6}
5 0
3 years ago
Consider the polynomial P(x)=x⁴+3x³-28x²-36x+144. Write the equation of P in factored form.
garik1379 [7]

Answer:

P(x)=(x-2)(x-4)(x+3)(x+6)

Step-by-step explanation:

Given: P(x)=x⁴+3x³-28x²-36x+144

It is a polynomial with degree 4.

It should maximum four factor.

Hit and trial error method.

Put x = 2 into P(x)

P(2)=2⁴+3×2³-28×2²-36×2+144

P(2) = 0

So, x-2 would be factor of P(x)

Now divide x⁴+3x³-28x²-36x+144 by x-2 to get another factors

(x^4+3x^3-28x^2-36x+144)\div (x-2) = x^3+5x^2-18x-72

P(x)=(x-2)(x^3+5x^2-18x-72)

Put x = 4

P(4) = 0

now divide x^3+5x^2-18x-72 by x-4

(x^3+5x^2-18x-72)\div (x-4) = x^2+9x+18

P(x)=(x-2)(x-4)(x^2+9x+18)

Now factor x^2+9x+18

\Rightarrow x^2+9x+18

\Rightarrow (x+6)(x+3)

Complete factor of P(x)

P(x)=(x-2)(x-4)(x+3)(x+6)

7 0
3 years ago
What is the value of x
Pachacha [2.7K]

Answer:

x = 2

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • A worker is paid $2,350 monthly and has $468 withheld from each monthly paycheck. Which of the following is her annual net salar
    9·1 answer
  • Help please Idk how to do it
    6·1 answer
  • Find the GCF of 40, 55, and 72.
    10·1 answer
  • The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.05 level tha
    11·1 answer
  • What percent of 18 is 4.5?
    5·1 answer
  • What is the purpose of a rebuttal?
    10·1 answer
  • Can someone help me with Ratios and Proportions? I’m really struggling for Geometry
    5·1 answer
  • 3. Tom's entered a snowman building contest in which the person who builds the tallest
    7·2 answers
  • A fireperson needs to use a ladder of 25 feet in length to rescue a cat that has become
    13·1 answer
  • This is the question
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!