Factor f(x)= 3x³+5x²-47x+15 into linear factors given that -5 is a zero of f(x)

Answer: If  -5 is a zero then f(x) is divisible by (x + 5)

the quotient when F*x) is divided by x + 5  is  :-
3x^2 - 10x + 3
this factors to
(3x  - 1)(x  -  3)

so the answer is (x + 5)(3x - 1)(x -  3)

Related Questions

Which statement best summarizes this passage? Read the passage from Sugu Change the World
The year is 326 B.C. Alexander the Great stands at the
Indus River in what is now Pakistan. For a decade he and
his Greek soldiers have been battling their way across the
known world, defeating even the mighty Persians, rulers of
Asia. Alexander's string of victories only feeds his hunger to
conquer all, to know all. But his men balk. Tired of fighting,
homesick, they refuse to go on. Alexander realizes he
cannot continue to conquer Asia, but he is too curious to stop
exploring. He has already built a fleet of eight hundred ships,
appointed his close friend Nearchus captain, and sent them
to investigate the coast of India by sea
Nearchus was the captain of a fleet of ships that
Alexander the Great was victorious over formidable
opponents in his conquests
Alexander the Great worked only with friends he trusted,
such as Nearchus
Alexander the Great continued exploring even though his
Greek soldiers quit
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Mark this and retum

Say; Alexander the Great continued exploring, despite his Greek soldiers’ quitting

Two times the least of three consecutive odd integers exceeds three times the greatest by 15 What are 3 odd integers?

n, n + 2, n + 4 - three consecutive odd integers

The equation:

2n = 3(n + 4) + 15     |use distributive property

2n = (3)(n) + (3)(4) + 15

2n = 3n + 12 + 15

2n = 3n + 27    |subtract 3n from both sides

-n = 27      |change the signs

n = -27

n + 2 = -27 + 2 = -25

n + 4 = -27 + 4 = -23

while digging in the background, you find an old coin. its mass is 26.76 g qnd its volume is 3cm3. what is the coin made of?

While digging in the background, you find an old coin. its mass is 26.76 g qnd its volume is 3cm³. The coin is made of copper since its density is 8.92 g/cm.

The mass of an object is the weight the object occupies and the volume refers to the space occupied by the object.

The density of an object can be used to determine an object's speciation. It can be expressed by using the formula:

Density of the object = 8.92 g/cm³

Therefore, we can conclude that the coin is made of copper since its density is 8.92 g/cm³ which is approximately equal to that of the standard density of copper (8.96 g/cm³)

brainly.com/question/21667661?referrer=searchResults

the coin is made of copper.

Step-by-step explanation:

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How do i solve -16 = -4 - 6x

x = 2

Step-by-step explanation

The main goal of solving this equation is getting the variable by itself.

For me personally, I prefer to have the variable on the left side of the equation, so I am just going to flip it over to look like this:

-6x - 4 = -16

Next, we must eliminate the constant on the left side of the equation, which is the four. So add four to both sides to get rid of the negative four. Remember, what you do to one side, you must also do to the other!

-6x - 4 = -16

+4           +4

Now, we have this:

-6x = -12

But wait! We aren't done yet! There is still the negative six with the variable. To get rid of it, we must divide both sides of the equations by negative six, as a negative divided by a negative is a positive. There is always an imaginary one next to a variable, so if we divide the negative six by itself, we will get one! Then, the variable will be by itself!

-6x = -12

÷-6     ÷-6

Now we have: x = 2

Remember that a negative divided by a negative is a positive, so the answer is 2, not negative two!