Question

how would you be able to factor this equation? 3x^6-5x^3+2x^2

Answer 1

what equation? wheres the equal sign?

Answer 2

its factoring, there shouldnt be any equal sign

Answer 3

take the bit that is common to all three terms "out" (of the expression)

Answer 4

oh... i thought u said "factor this equation"

Answer 5

that is kinda confusing..

Answer 6

is there a sipliler way to explain this?O.O

Answer 7

simplier*

Answer 8

do you know what a factor is..?

Answer 9

I thought that was a pretty decent explanation myself....

Answer 10

thanks estudier

Answer 11

umm, yep. but usually i only factor trinomials so this is new for me..

Answer 12

ok... can you simplify

\[x^4 \times x^2 = \]

Answer 13

Um...it is a trinomial isn't it?

Answer 14

yep a 3 term expression

Answer 15

2x^6?

Answer 16

nope... try again

Answer 17

lol i cant . tell me the answer xD

Answer 18

ok...

here is an index law you should know...

\[x^a \times x^b = x^{a+b}\]

now

back to the question

\[x^4 \times x^2 =\]

Answer 19

x^6?

Answer 20

correct..

so the 1st term in your expression is

\[3\times x^6 = 3 \times x^4 \times x^2\]

the 2nd term is

\[-5 \times x^3 = -5 \times x \times x^2\]

the 3rd term is

\[2 \times x^2 \]

in the expanded form above... what is the common factor..?

Answer 21

2(x)(x)?

Answer 22

no... then is only 1 thing that is contained in the 3 terms written in expanded form... can you identify it..

Answer 23

no idea...

Answer 24

\[x^2\]

is common to all 3 terms...

so that is the common factor


\[3x^4\times x^2 - 5x \times x^2 + 2\times x^2 = x^2(3?? -5?? + 2)\]

so what goes inside the brackets with 3 and - 5

Answer 25

ummm x^4 and x?

Answer 26

correct

so the simplified form is

\[x^2(3x^4 - 5x + 2)\]

Answer 27

yay! i get it now !

Answer 28

thankyou

Answer 29

good luck