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3 years ago

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

1 answer:

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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1200((1)/(2))^(50)/(14)

Airida [17]

Answer:

aprox. 100.94

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

True or false? A correct answer is worth (2 pts). Explain how you know for the additional (2 pts). Using complete sentence for (

PtichkaEL [24]

answer (in words)

FALSE. the coordinate pair (5, 2) is not a solution to the equation $2x+3y=10$ . in order to figure out whether or not the statement is true or false, plug the $x$ and $y$ values from the coordinate pair (5, 2) into the given equation, $2x+3y=10$ . if both sides of the equation end up equal, the coordinate pair is a solution to the equation. if not, the coordinate pair is not a solution to that equation.

(i hope i explained that well enough, i'm better at explaining it algebraically as opposed to putting it into words lol)

answer (algebraic/steps for solving)

first, plug in 5 for $x$ in the equation $2x+3y=10$ .

$2x+3y=10$ ⇒ $2(5)+3y=10$

then plug in 2 for $y$ .

$2(5)+3y=10$ ⇒ $2(5)+3(2)=10$

now your equation is $2(5)+3(2)=10$ . all that's left to do is to simplify. you can do this in whatever order you'd like, but i'll start with multiplying 2 · 5.

$2(5)+3(2)=10$ ⇒ $10 + 3(2) = 10$

multiply 3 · 2.

$10 + 3(2) = 10$ ⇒ $10 + 6 = 10$

add 10 + 6.

$10 + 6 = 10$ ⇒ $16=10$

16 and 10 are not equal, therefore (5, 2) is not a solution to the equation $2x+3y=10$ . in order for a coordinate pair to be the solution to an equation, both sides of the equation need to end up equal after solving and simplifying.

i hope this helps! have a great rest of your day <3

6 0

3 years ago

What is the quotient of 5/8 and 20?

ddd [48]

What is the quotient of 5/8 and 20?Quotient is the term used to name the answer of the 2 or more digits being divided with each other.Now, we have 2 different numbers. A fraction and a whole number.First thing to do is to convert 5/8 to decimal number.=> 5 / 8 = 0.625Now, we have 2 numbers that needs to be divided.=> 20 as our dividend and 0.625 as our divisor=> 20 / 0.625 = 3232 is the quotient when you divide 5/8 by 20

5 0

3 years ago

Solve and check SOLVE: 2x + 5 – 3 (2x - 7) = 2 (3x – 5) – 4

vlada-n [284]

Good morning ☕️

______

Answer:

x=4

___________________

Step-by-step explanation:

-Solving:

2x + 5 – 3 (2x - 7) = 2 (3x – 5) – 4

2x + 5 – 6x + 21 = 6x – 10 – 4

-4x + 26 = 6x - 14

10x= 26+14

10x=40

x=4

-Checking:

x=4

2(4) + 5 – 3 (2(4) - 7) = 8+5-3(8-7) = 13-3(1) =13-3=10

2 (3(4) – 5) – 4 = 2(12-5)-4 = 2(7)-4=14-4=10.

_______________________________

8 0

3 years ago

Change the following percentage to fraction <img src="https://tex.z-dn.net/?f=116%20%5C%20%5Cfrac%7B2%7D%7B3%7D%20%5C%25" id=

marta [7]

I think the answer is 350/3

3 0

3 years ago