Question

Factor quadratic trinomials

Answer 1

1. (x - 9) + (x + 5)
You split the x^2 into two xs
The one with an x (-4x) is what the two numbers should equal
-9 + 5 = 4
The one without an x (-45) is what the two numbers product should be
-9 times 5 = -45
*so remember the x is the sum of the two
*no x is the product of the two
Theres no quick trick to find the answer u just have to plug it in
*start with all the numbers that multiply for the no x (-45)
-3 and 15 or 3 and -15 is obviously not it as the sum does not equal -4
Those sums equal 12 or -12
I’ll do one more and ur on ur own comrade (ok and ill do number 4)
3. (x - 8) + (x - 9)
ok this time both the answers have a negative
*if it has only one negative in the problem there are going to be TWO negatives in the answer
-8 and -9 sum is -17
-8 and -9 sum is 72
If there was only one negative in the answer it would make the 72 negative and there is no -72 in the problem
So this one is
(x - 8) + (x - 9) (u dont have to have it like this u can put the (x - 9) in the front doesn’t matter which way it’s just the signs (- & +) that matter
OK now 4.
4. This one is very easy as all u need to do is find the two numbers for the product
(X - 6) (X + 6)
(Again it doesn’t matter which () is in front just the SIGNS INSIDE THE PARENTHESES ( + & - )
GL