Question

Give the values of a, b, and c needed to write the equation's general form.

2/3(x-4)(x+5)=1
a) A = 2/3; B = 1; C = -20
b) A = 2; B = 2; C = 43
c) A = 2; B = 2; C = -43

Answer 1

c) (A, B, C) = (2, 2, -43)

Explanation:

Multiply the given equation by 3:

... 2(x -4)(x +5) = 3

Multiply the binomial terms:

... 2(x^2 -4x +5x -20) = 3

Collect terms and use the distributive property:

... 2x^2 +2x -40 = 3

Subtract 3 to put into general form:

... 2x^2 +2x -43 = 0

The coefficients A, B, C are the coefficients of the general form equation, left to right:

... A = 2; B = 2; C = -43 . . . . matches selection c)