Factor the following polynomial: x2 + 20x + 36 (x + 2)(x + 10) (x + 6)(x + 6) (x + 9)(x + 4) (x + 2)(x + 18)
\[(x+a)(x+b)=x^2+(a+b)x+ab\]So, \(a\) and \(b\) need to have what sum and product?
To factor multiply the coefficient of the first term by the constant in the last term. Which is 36(1,2,3,4,6,9,12,18 and 36) then look for 2 factors of 36 that can add to give you 20.
From that being said what do you think your answer is?
I DO NOT KNOW
x^2+2x+18x+36
I TINK IT IS THE LAST ONE
Yes it is. x(x+2)+18(x+2) (x+2)(x+18)
Factor the following polynomial: x2 – 14x + 24 (x – 2)(x – 12) (x – 2)(x + 7) (x – 6)(x – 4) (x – 14)(x + 1)
The technique here is identical.
IT IS STILL HARD FOR ME
Did you try it at least?
YES I GOT CONFUSED
What did you get?
I GOT STUCK IN THE PROCESS OF DOING IT
What numbers multiply to 24 and add to -14?
IS IT THE FIRST ONE
HELP
yes
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