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Naddika [18.5K]
3 years ago
10

Find all zeros of the function and write the polynomial as a product of linear factors. f(x) = 3x4 + 4x3 + 13x2 + 16x + 4

Mathematics
1 answer:
Digiron [165]3 years ago
8 0
Don't try anything positive.
f(-1) = 3 - 4 + 13 - 16 + 4 = 0 This one works so one factor is (x + 1)
f(-1/3) = gives a 0. So another factor is 3x + 1
The last factor is found by dividing 3x^2 + 4x + 1 into the original equation. That's (3x + 1)(x + 1) expanded.
When you do that you find that the last factor is (x^2 + 1)
You can see how this is factored at Wolframalpha dot com
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Please help! Dont get it wrong pls
Vaselesa [24]

Answer:

5.4 > x > 2.8

Step-by-step explanation:

Sum of two sides is always greater than the third side

Case1 :

4.1 + 1.3 > x

5.4 > x

Case2:

4.1 + x > 1.3 or 1.3 + x > 4.1

x > 1.3 - 4.1 or x > 4.1 - 1.3

x > - 2.8 or x > 2.8

Note that it is obvious x is not -ve so neglect -2.8. x > 2.8

Hence,

5.4 > x > 2.8

5 0
3 years ago
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-2p + 7= 11 i need a answer know pleas help me
siniylev [52]

Answer:

p= -3/2 or p= -1 1/2

Step-by-step explanation:

6 0
3 years ago
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What is 1 2/3 times 4/5 in simplest form
Leviafan [203]

Answer:

Step-by-step explanation:

numerator x numerator

denominator x denominator

2 x 4=8

3 x 5=15

1 8/15

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3 years ago
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ikadub [295]

Answer:

Step-by-step explanation:

the variable n would have to be less then zero.. answer 1

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3 years ago
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If a single card is drawn from a standard 52-card deck, what is the probability that it is an ace or a spade?
klasskru [66]

A 52-card deck is made up of an equal number of diamonds, hearts, spades, and clubs. Because there are 4 suits, there is a 1/4 chance to draw one of them, in our case, spades.

There are 4 aces in a 52-card deck, so the chance of drawing one is 4/52, or 1/13.

The question asks for the probability of drawing an ace or a spade. Because it uses the word "or," we add the probabilities together. This is because there is a chance of drawing either of the cards; it doesn't have to meet both requirements to satisfy the statement.

However, if the question were to say "and," we would multiply the two probabilities.

Let's add 1/4 and 1/13. First, we can find a common denominator. We can use 52 because both fractions can multiply into it (since the ratio came from a deck of 52 cards as well).

\frac{1}{4} -- > \frac{13}{52}

\frac{1}{13} -- > \frac{4}{52}

Now we can add them together.

\frac{13}{52} + \frac{4}{52} = \frac{13+4}{52} = \frac{17}{52}

This cannot be simplified further, so the probability is 17 in 52, or 33%.

hope this helps!

7 0
1 year ago
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