Question

Divide (3x3 + 4x2 – 5x – 2) ÷ (x + 2) using long division.

3x2 + 2x + 1

3x2 + 2x – 1

3x2 – 2x – 1

3x2 – 2x + 1
@amistre64

Answer 1

@Michele_Laino

Answer 2

@freckles

Answer 3

@jagr2713

Answer 4

@amistre64

Answer 5

@Agl202

Answer 6

what is your attempt?

Answer 7

well i know the first term is 3x^2 and then + 2x

Answer 8

i thinl

Answer 9

(x+2) (ax^2+bx+c)

what is the exapnasion?

Answer 10

first step:
we have to divide \(3x^3\) by \(x\)

Answer 11

which is 3x^2

Answer 12

ax^3 +bx^2 +cx +2ax^2 +2bx +2c

ax^3 +(b+2a)x^2 +(c+2b)x +2c
3 4 -5 -2

a=3, c=-1, what is b?

Answer 13

yes! so we can write this:

Answer 14

-2 is b

Answer 15

then we have what we need, 3, -2, -1

Answer 16

it wasnt dividing it of course .. but its a fair way to double chk your results

Answer 17

ok so the answer is d

Answer 18

D is 3,-2,1 so no

Answer 19

sorry i mean c

Answer 20

unless you have some lettering scheme that differs from top to bottom

Answer 21

the third one, is 3,-2,-1 should fit the bill yes

Answer 22

ok thank you i Have one more problem that I have to get don, Could you help me?

Answer 23

maybe

Answer 24

Use synthetic division and the Remainder Theorem to find P(–3) if P(x) = x4 + 19x3 + 108x2 + 236x + 176.

9

8

7

6

Answer 25

after x are exponents

Answer 26

seems like a sadistic exercise. its simpler to calculate p(-3) directly

Answer 27

show your efforts please

Answer 28

I dont even know where to start with this

Answer 29

if your interest in learning synthetic division ... thats one thing, otherwise just calculate P(-3) directly

Answer 30

Right so how would I calculate p-(3)

Answer 31

let x=-3

Answer 32

synthetic just turns this into a repetition of adding and multiplication ... which essentially makes you work the problem directly in an indirect manner

Answer 33

spose we had: ax^2+bx+c

a b c
0 ka k^2a+kb
--------------------
k| a ka+b k^2a +kb +c
^^^^^^^^^^
the final result is ak^2 + bk + c

Answer 34

i got 8 when x=-3

Answer 35

so did i

Answer 36

so would that be the answer to the question

Answer 37

of course

Answer 38

ok thank you so much!!!!

Answer 39

x4 + 19x3 + 108x2 + 236x + 176

by factoring we can break this down into the same synthetic process

x(x3 + 19x2 + 108x + 236) + 176

x(x(x2 + 19x + 108) + 236) + 176

x(x(x(x + 19) + 108) + 236) + 176

let x=-3

-3(-3(-3(-3 + 19) + 108) + 236) + 176

-3(-3(-3(16) + 108) + 236) + 176

-3(-3(-48 + 108) + 236) + 176

-3(-3(60) + 236) + 176

-3(-180 + 236) + 176

-3(56) + 176

-168 + 176

-8 + 16 = 8