All categories

3 years ago

What would be the remainder ?

Mathematics

1 answer:

ruslelena [56]3 years ago

3 0

Answer:

Step-by-step explanation:

Given (x + h) is a factor of f(x) then f(- h) = 0

Given

p(x) = x³ - 4x² + ax + 20 , with (x + 1) as a factor then

p(- 1) = (- 1)³ - 4(- 1)² - a + 20 = 0 , that is

- 1 - 4 - a + 20 = 0

15 - a = 0 ( subtract 15 from both sides )

- a = - 15 ( multiply both sides by - 1 )

a = 15 , thus

p(x) = x³ - 4x² + 15x + 20

If p(x) is divided by (x + h) then p(- h) is the remainder, so

p(- 2) = (- 2)³ - 4(- 2)² + 15(- 2) + 20 , that is

- 8 - 16 - 30 + 20 = - 34 → A

You might be interested in

-8(3 - 4v) + 8v = 9v + 3 what is the answer?

gavmur [86]

Answer:

My sister and her sister and my mom are so adorable I love her and

Step-by-step explanation: was the name wrong I was talking to him about it haha is that a little

Kidsss was a great night out and this is what I

4 0

3 years ago

Maria is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.

Paha777 [63]

22 because you take the smallest and largest number and subtract them so you do 81-59=22

4 0

2 years ago

SGA is doing a fundraiser to sell candles for project graduation. Small candles cost $4.00 and large candles cost $6.00. They ha

mafiozo [28]

Given:

Cost of small candles = $4.00

Cost of large candles = $6.00

They have at most 50 candles, and want to make at least $100.

To find:

The system of linear inequalities represents the situation.

Solution:

Let x be the number of small candles and y be the number of large candles.

At most 50 candles means total candles must be less than or equal to 50.

$x+y\leq 50$

Want to make at least $100. It means, the total sales must be greater than or equal to $100.

$4x+6y\geq 100$

Therefore, the inequalities in the system of linear inequalities are $x+y\leq 50$ and $4x+6y\geq 100$ .

3 0

3 years ago

Given that (-8,- 7) in on the graph of f(x), find the corresponding point for the fuction f(x -4)

kiruha [24]

The point (x1,y1) on the graph of f(x) is the point (x1-a,y1) for the function
f(x+a)

(-8,-7)=(x1,y1)→x1=-8, y1=-7
f(x-4)=f(x+a)→a=-4

(x1-a, y1)=(-8-(-4), -7)=(-8+4, -7)=(-4,-7)

<span>The corresponding point for the fuction f(x -4) is (-4,-7)</span>

8 0

3 years ago

Nine times a number subtracted from another number

ANTONII [103]

9x mean 9 multipled with an unkown number and 9x is subtracted from another unknown number 'y' . you can substitute with any letters you want ,but you have to use two different letters.

6 0

3 years ago