MATHEMATICS HIGH SCHOOL

Find the remainder when f(x) is divided by (x - k)
f(x) = 5x4 + 8x3 + 4x2 - 5x + 67; k = 2

Answers

Answer 1

Answer:

Answer: The remainder when f(x) is divided by (x-2) is 217.

Step-by-step explanation:

Since we have given that

$f(x) = 5x^4 + 8x^3 + 4x^2 - 5x + 67$

And it is divided by g(x)=(x-k)

Here, k= 2

So, g(x)= x-2

So, we need to find the remainder .

By using "Remainder theorem ":

$Put\ g(x)=0\n\nx-2=0\n\nx=2$

Now,

$f(2)=5(2)^4 + 8(2)^3 + 4(2)^2 - 5(2) + 67\n\nf(2)=80+64+16-10+67\n\nf(2)=217$

Hence, the remainder when f(x) is divided by (x-2) is 217.

Answer 2

Answer:

It is to be solved by reminder thorem
f(x)/(x-k) will have reminder f(k),
so, f(2) = 5*(2^4) + 8 *(2^3) +4* (2^2) -5(2) +67

=5*16 + 8*8 +4*4 -5*2 +67
=80 + 64 + 16 -10 +67

= 217

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Will the product of a positive number and a negative number be positive or negative? Why?PLEASE HELP1!1!1!1!1!

Answers

Answer:

negative

Step-by-step explanation:

positive * positive = positive

negative * positive = negative

If u spenpend 20 minutes a night doing homework how many seconds

Answers

Answer:

1200 seconds per 20 minute study session

Step-by-step explanation:

20 min x 60 sec = 1200 seconds

Answer:1,200 secs

Step-by-step explanation:

Please help thank you!! Simplify
1. 2/√5
2. -11√112
3. 17√17 - 9√17
4. 6/√3+2

What is the domain of the function
5. y=3√6x+42

What are the domain and range of the function
6. y=2√3x+4-5

Simplify the radical expression. Show all your steps
9.√363-3√27

Answers

Hey there! So because this is to many question rolled in one, Im only going to be answering your simplify questions.

Starting with

1: $(2)/(5) √(5)$
2: $44 √(7)$
3: $8 √(17)$
4: $2+2 √(3)$

So i solved this by using our square root functions. For if you didn't know, the square root symbol is this: √

Hope this helps!

Calculate the area of the triangle 7m 4m is it (a) 14 m² (b) 18 m² (c) 28 m² (d) 56 m²

Answers

(7m)(4m)=28m^2
Therefore, the answer is (b)
=)=)=)=)=)

28m

Step-by-step explanation:

if the equation is h= -2x^2 + 12x -10

how do I find the max height?

Answers

One other way to solve this question is finding the derivative

$h=-2x^2+12x-10$

$h'=-4x+12$

now we have to find when this function will be zero

$-4x+12=0$

$\boxed{\boxed{x=3}}$

now we just replace this value at our initial function

$h=-2x^2+12x-10$

$h_(max)=-2*(3)^2+12*3-10$

$h_(max)=-18+36-10$

$\boxed{\boxed{h_(max)=8}}$

The maximum height is the ordinate value of the vertex of the parabola, ie: yV

Calculating yV:

$y_V=(-\Delta)/(4a)\n \n y_V=-[(12^2-4*(-2)*(-10)])/(4*(-2))=(-(144-80))/(-8)=(-64)/(-8)=8$

Please help!! There's a picture.