Question

factor
-7x^2+2x^3+4x-14

Answer 1

factor the GCF, x^2 from first two terms

Answer 2

factor the GCF, 2 from last two terms

Answer 3

i dont understand that

Answer 4

-7x^2+2x^3+4x-14

factor the GCF, x^2 from first two terms :

x^2(-7 + 2x) + 4x - 14

factor the GCF, 2 from last two terms :

x^2(-7 + 2x) + 2(2x - 7)

Answer 5

oh ok

Answer 6

:) now do u see anything common ?

Answer 7

-7x^2+2x^3+4x-14

factor the GCF, x^2 from first two terms :

x^2(-7 + 2x) + 4x - 14

factor the GCF, 2 from last two terms :

x^2(-7 + 2x) + 2(2x - 7)

x^2(2x - 7) + 2(2x - 7)

Answer 8

can we factor (2x-7) ?

Answer 9

No

Answer 10

why No ?

Answer 11

i see (2x-7) is common in both the terms hmm, we can pull it out, eh ?

Answer 12

ok sure

Answer 13

yes we can factor

Answer 14

good :) factor it and see what u get

Answer 15

is it 2x^2(2x-7)

Answer 16

you're almost correct ! let me show u hw to factor it :)

Answer 17

-7x^2+2x^3+4x-14

factor the GCF, x^2 from first two terms :

x^2(-7 + 2x) + 4x - 14

factor the GCF, 2 from last two terms :

x^2(-7 + 2x) + 2(2x - 7)

x^2(2x - 7) + 2(2x - 7)

factor (2x-7) :

(2x-7)(x^2+2)

Answer 18

x^2 remains in the first term
2 remains in the last term,

so we should write that as (x^2+2), not 2x^2

Answer 19

so thats our final factored form :

(2x-7)(x^2+2)

Answer 20

oh ok thanks

Answer 21

np