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3 years ago

11. What values of a, b, and c make this equation true?

Mathematics

1 answer:

borishaifa [10]3 years ago

4 0

9514 1404 393

Answer:

A, a = 4, b = -3, c = 3

Step-by-step explanation:

Expanding the left side gives ...

2x^2 -x -10 +ax^2 +bx +c

= (2 +a)x^2 +(b -1)x +(c -10)

Equating coefficients with terms on the right side gives ...

x^2: (2 +a) = 6 ⇒ a = 4 . . . . . . eliminates choice C

x: (b -1) = -4 ⇒ b = -3 . . . . . . . . eliminates choices B, D

constant: c -10 = -7 ⇒ c = 3 . . . confirms choice A

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