Which of the following value pairs can be used as m and n to factor the expression?
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Answer:
Correct choice is C. 3, -15.
Step-by-step explanation:
Question says to factor [tex]9x^2-12x-5[/tex]
Now we need to find about which of the given value pairs can be used as m and n to factor the expression.
Compare [tex]9x^2-12x-5[/tex] with standard quadratic form [tex]ax^2+bx+c[/tex], we get:
a=9, b=-12, c=-5
Then ac=9(-5)=-45
Now we need to find two numbers m and n such that
m*n=ac=-45
and m+n=b=-12
only choice that satisfies above equations is (3,-15).
Hence correct choice is C. 3, -15.