Problem: The area of the Grade 8 Curriculum garden is (x2 + 10x – 75) square
meters. What are the dimensions of the garden?
Solutions:
The middle number is 10 and the last number is -75.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that…
Add together to get 10
Multiply together to get -75
Can you think of the two numbers?
Try -5 and 15:
-5+15 = 10
-5*15 = -75
Fill in the blanks in
(x+_)(x+_)
with -5 and 15 to get…
(x-5)(x+15)
Answer:
(x−5)(x+15)
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