Find the factors of following trinomials
1. x² - 5x + 4
2. x² + 3x - 28
Answers
Answer:
1. (x-1)(x-4)
2. (x-4)(x+7)
Step-by-step explanation:
1. x^2−5x+4
The middle number is -5 and the last number is 4.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -5
Multiply together to get 4
Can you think of the two numbers?
Try -1 and -4:
-1+-4 = -5
-1*-4 = 4
Fill in the blanks in
(x+_)(x+_)
with -1 and -4 to get...
(x-1)(x-4)
2. x^2+3x−28
The middle number is 3 and the last number is -28.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 3
Multiply together to get -28
Can you think of the two numbers?
Try -4 and 7:
-4+7 = 3
-4*7 = -28
Fill in the blanks in
(x+_)(x+_)
with -4 and 7 to get...
(x-4)(x+7)
Hope it helps u
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