2 years ago

HELP ME PLEASE!!!!!!

Mathematics

1 answer:

Deffense [45]2 years ago

5 0

9514 1404 393

Answer:

-2x +4

Step-by-step explanation:

We can write the polynomial p(x) in terms of the factors (x+2) and (x-3) as ...

p(x) = (x+2)(x-3)q(x) +ax +b

Where ax+b is the remainder from division by x^2 -x -6 = (x+2)(x-3). The values of 'a' and 'b' can be found from ...

p(-2) = 8 = -2a +b

p(3) = -2 = 3a +b

Subtracting the first equation from the second gives ...

(3a +b) -(-2a +b) = (-2) -(8)

5a = -10

a = -2

Then the first equation tells us ...

8 = -2(-2) +b

4 = b

So, the remainder from division by (x^2 -x -6) is (-2x +4).

You might be interested in

A jar contains n nickels and d dimes. There is a total of 234 coins in the jar. The value of the coins is $16.10. How many nicke

Lostsunrise [7]

Your two equations for this question would be:

n + d = 234
5n +10d = 16.10

So with that you must take your two equations and make them equal to eachother.

Hope this helped :)

5 0

3 years ago

Read 2 more answers

Using x as the variable, write a formula to find the perimeter of the figure. Use the formula to find the perimeter. a regular d

Mamont248 [21]

Answer:

c. 12x; 111 cm

Step-by-step explanation:

The regular dodecagon has 12 sides. Each side has a length of x=9.25 cm, and we know that the perimeter of the figure is the sum of the lengths of all the sides: Therefore, since we have 12 sides, the perimeter will be given by the product between the length of each side, x, and the number of sides, 12:

$p=12 \cdot x$