SOLUTION: Use the ac test to determine which of the following trinomial can be factored. Find the values of m and n for each trinomial that can be factored.
x^2 + 2x - 15
___________
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Question 70649This question is from textbook Beginning Algebra
: Use the ac test to determine which of the following trinomial can be factored. Find the values of m and n for each trinomial that can be factored.
x^2 + 2x - 15
________________________
x^2 - 3x + 7
I am having trouble figuring these out. Can someone help explain this to me so I can better understand this. Thanks
This question is from textbook Beginning Algebra
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
Use the ac test to determine which of the following trinomial can be factored. Find the values of m and n for each trinomial that can be factored.
x^2 + 2x - 15
WRITE 2 FACTORS OF -15 (CONSTANT TERM )SO THAT THEIR SUM =+2(COEFFICIENT OF X)
WE FIND +5*(-3)=-15 AND +5-3=2
HENCE WRITE 2X AS +5X-3X
X^2+5X-3X-15
=X(X+5)-3(X+5)
=(X-3)(X+5)
________________________
x^2 - 3x + 7
IN THE SAME WAY AS ABOVE ...WE CANT SPLIT 7 HENCE THIS HAS NO RATIONAL FACTORS.
IN FACT IT HAS NO REAL FACTORS AS DISCRIMINANT = (-3)^2-4*7=9-28 IS NEGATIVE
I am having trouble figuring these out. Can someone help explain this to me so I can better understand this. Thanks
Yo
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