Question

Factor the polynomial completly.
4x^2 - x - 14 ?

Answer 1

Now what is the number when adding or subracting 1 and multiplying 14?

Answer 2

before that...u have to divide by 4 to clear coefficient of x^2 @uri

Answer 3

so sum is -1/4 and product is -14/4=-7/2. hmmm

Answer 4

i dont think there is none! @uri

Answer 5

well... you can always use\[(-b \pm \sqrt{b ^{2} - 4ac})/2a\]

Answer 6

was away sorry.

Answer 7

you may try the uri way of factoring which is simple
14x4 = 56

so you need to find two numbers that multiply to 56, and add up to -1

Answer 8

-8 and 7 ??

Answer 9

can you find them ? if not you can use the quadratic formula directly

Answer 10

-8 and 7 @ganeshie8 and @uri

Answer 11

yes ! thats right !!
we rewrite the given polynomial

Answer 12

i think thats wrong mate...doen't fit the equaton

Answer 13

4x^2 - x - 14
4x^2-8x+7x-14
4x(x-2)+7(x-2)

Answer 14

but isn't the equation supposed to reduce tto zero when we put value of roots??

Answer 15

it wil reduce to 0, this is simply oly :)

Answer 16

*simple

Answer 17

So answer is (4x+7)(x-2)

Answer 18

looks right to me

Answer 19

can you tell me how it will be zero?? @ganeshie8

Answer 20

0?

Answer 21

wat are the roots we got here ha ?

x-2 = 0
x=2

plugin x =2 in given polynomial
wat do we get ?

Answer 22

@uri

Answer 23

We have to factorize this eq by finding the GCF..

Answer 24

repeat the same thing for other factor

4x+7 = 0
x = -7/4

plugin this value in given polynomial and see wat u get

Answer 25

get it now..thx guys.:) btw wats GCF

Answer 26

GREATEST COMMON FACTOR.

Answer 27

great :) GCF = Greatest Common Gactor
we have used it when grouping things

Answer 28

we expand the eq.

Answer 29

so whats my answer @uri and @ganeshie8

Answer 30

(4x+7)(x-2)