Raul is attempting to factor the expression In his first step, he rewrites the expression as Which of the following statements in true about Raul’s work?

Question

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lublana lublana · Answer 1 · 2019-01-15T02:46:49+01:00

Answer:

C. The two middle coefficients multiply to the correct number, but do not add to the correct number.

Step-by-step explanation:

Question says to factor [tex]3x^2-14x-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]3x^2-14x-5[/tex] with standard quadratic form [tex]ax^2+bx+c[/tex], we get:

a=3, b=-14, c=-5

Then ac=3(-5)=-15

Now we need to find two numbers m and n such that

m*n=ac=-15

and m+n=b=-14

only choice that satisfies above equations is m=-15 and n=+1

But Rahul is using +15x and -1x which will give error addition.

Hence correct choice is C. The two middle coefficients multiply to the correct number, but do not add to the correct number.