Question

How can the polynomial 6d^4 + 9d^3 - 12d^2 be factored?

Answer 1

Do you see something in common with each term that can be factored out first

Answer 2

they're all divisible by 3?

Answer 3

and d^2

Answer 4

okay so what do I do next :s

Answer 5

2d^2+3d-4

Answer 6

now we factor the polynomial

Answer 7

3d^2(2d^2 + 3d - 4)?

Answer 8

(2d + ___)(d - ____) or (2d - ____)(d + ____)

Answer 9

correct

Answer 10

oh okay
thanks

Answer 11

lets factor the poly now

Answer 12

ok so

Answer 13

look at the last term first. what are the numbers when multiplied get -4.

Answer 14

1,-4 -1,4 2,-2 -2,2

Answer 15

yea

Answer 16

now we look at the center terms coefficient and we need to find the pair of numbers when added equal 3. but we can't forget about the 2 the will alos be multiplied to one of the numbers also.

Answer 17

its a little bit of guess and check

Answer 18

so we combine them? and get 6d

Answer 19

so the answer to this would be 3d^2(3d^2 + 6d -9)??

Answer 20

i don't know how you got there and I also can't factor the poly. so i would leave the answer as what you typed half way up

Answer 21

ok