All categories

2 years ago

Using the remainder theorem which quotient has a remainder of 20?

Mathematics

1 answer:

stealth61 [152]2 years ago

3 0

Answer:

Step-by-step explanation:

When a polynomial f(x) is divided by (x - a) then remainder is f(a)

divided by (x + 4 ), then a = - 4

$(-4)^{4}$ - 8(- 4)² + 16 = 256 - 128 + 16 = 144 ≠ 20

divided by (x - 2), then a = 2

3(2)³ + 7(2)² + 5(2) + 2

= 3(8) + 7(4) + 10 + 2

= 24 + 28 + 12 = = 64 ≠ 20

divided by (x + 5) , then a = - 5

(- 5)³ + 5(- 5)² - 4(- 5) + 6

= - 125 + 125 + 20 + 6 = 26 ≠ 20

divided by (x - 2), then a = 2

3 $(2)^{4}$ - 5(2)³ + 5(2) + 2

= 3(16) - 5(8) + 10 + 2

= 48 - 40 + 12 = 20 ← Remainder of 20

You might be interested in

How many points need to be removed from this graph so it will be a function?

finlep [7]

Answer:

3 points

Step-by-step explanation:

in a function, an x-value must have only one y-value correlated with it.

So, you would need to remove either (-3, 2) or (-3, 3)

And, you would need to remove either (2, -2) or (2, -4)

<em>And, </em>you would need to remove either (1, 4) or (1, -4)

So--you need to remove 3 points in total for this to be a function.

[a y-value can have multiple x-values. the two points at -4 are allowed, and do not need to be removed for both of them to be there]

8 0

1 year ago

You have $7.45. You buy 8 items that cost $0.83 each. How much money do you have left

Agata [3.3K]

Answer:

$0.81

Step-by-step explanation:

left

$7.45-8(0.83)=7.45-6.64=0.81$

I hope I have helped you

6 0

2 years ago

A rectangular prism made of wood has a length of 10 centimeters, a width of 8 centimeters, and a height of 12 centimeters. A rec

Novay_Z [31]

D. 1032 cubic centimeters I think

8 0

3 years ago

Read 2 more answers

Using a linear approximation, estimate f(2.1), given that f(2) = 5 and f'(x) = √3x-1.

algol [13]

Answer:

$f\left( {2.1} \right) \approx 5.22360$ .

Step-by-step explanation:

The linear approximation is given by the equation

${f\left( x \right) \approx L\left( x \right) }={ f\left( a \right) + f^\prime\left( a \right)\left( {x - a} \right).}$

Linear approximation is a good way to approximate values of $f(x)$ as long as you stay close to the point $x= a$ , but the farther you get from $x=a$ , the worse your approximation.

We know that,

$a=2\\f(2) = 5\\f'(x) = \sqrt{3x-1}$

Next, we need to plug in the known values and calculate the value of $f(2.1)$ :

${L\left( x \right) = f\left( 2 \right) + f^\prime\left( 2 \right)\left( {x - 2} \right) }=5+\sqrt{3(2)-1}(x-2) =5+\sqrt{5}(x-2)$

Then

$f\left( {2.1} \right) \approx 5+\sqrt{5}(2.1-2)\approx5.22360$ .

6 0

3 years ago

Please I need help with this I don't understand my teacher gave us a valentines day assignment like what the heck I seriously do

Helen [10]

Answer:

A) 5x = y

B) $2x \leq 100$

Step-by-step explanation:

A is 5x = y because there are 5 pink hearts per the number of boxes (x) bought.

B uses the equation 2x is less than or equal to 100 because the teacher is spending 2 dollars per kid and can spend a maximum of 100.

The graph for this is attached.

6 0

2 years ago

Using the remainder theorem which quotient has a remainder of 20￼￼?

Using the remainder theorem which quotient has a remainder of 20?