Factor the following polynomial: x2 + 14x – 32
A. (x – 2)(x – 7)
B. (x + 7)(x + 2)
C. (x + 16)(x – 2)
D. (x + 2)(x –16)
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OpenStudy (diyadiya):
Do you know to factorise?
OpenStudy (anonymous):
NO
OpenStudy (diyadiya):
We have to split the middle term for that you need two numbers whose product is -32 and sum is 14
what can those two numbers be?
OpenStudy (anonymous):
D ?
OpenStudy (anonymous):
@Diyadiya
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OpenStudy (anonymous):
@jollysailorbold
OpenStudy (anonymous):
I SAID D ?
OpenStudy (anonymous):
that was not what was asked of you.... please answer her question...
OpenStudy (anonymous):
2 & 6 ?
OpenStudy (diyadiya):
Well, By the way how did you get the answer?
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OpenStudy (diyadiya):
2& 6?
hmm i said "two numbers whose product is -32 and sum is 14 "
2 x 6= 12 not -32
2 + 6 = 8 not 14
OpenStudy (anonymous):
7*2
OpenStudy (diyadiya):
what is 7 * 2 = ?
OpenStudy (anonymous):
14
OpenStudy (diyadiya):
But product should be -32
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OpenStudy (anonymous):
-16*2
OpenStudy (diyadiya):
Yes! now add them and see if their sum is 14 or not
OpenStudy (anonymous):
YES
OpenStudy (diyadiya):
-16 + 2 = ?
OpenStudy (anonymous):
14
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OpenStudy (diyadiya):
Nope
OpenStudy (anonymous):
-14
OpenStudy (diyadiya):
-16 + 2 =-14
OpenStudy (diyadiya):
Yes but we need 14 ,so try another
OpenStudy (anonymous):
I DONT UNDERSTAND WHAT YOUR TRYING TO SAY !
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OpenStudy (diyadiya):
Ok letme explain
OpenStudy (diyadiya):
x^2 + 14x – 32
this is of the form ax^2 + bx + c (here a=1, b= 14, c=-32 )
while factoring we have to find tw numbers who'se product is 'a*c' and sum is 'b'
here a =1 & c=-32
so product should be -32
b=14
so sum should be 14
OpenStudy (diyadiya):
and you gave me the numbers -16 & 2
their product is -32 (that's right)
But their sum is not 14
OpenStudy (diyadiya):
So, lets take the numbers 16 & -2
what is the product & sum here?
OpenStudy (anonymous):
tanga letter c is the answer!
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OpenStudy (anonymous):
@Ceejay @Diyadiya was helping answer this. We do not encourage just giving answers on this site, as is outlined in CoC. We are teaching people, not doing their homework.