Two students are in dispute over who factored the expression given below correctly. Daisy factored it to be (2+12)(x-2). Donnie factored it to be 2(+6)(-2). Which one is factored completely and correctly. Explain the reasoning in your work.

Daisy factored it completely and wholly.

Step-by-step explanation:

An algebraic expression consists of a variable and a number.

Therefore the factors of the algebraic expression must have a variable and a number.

If we look at the factors drawn by both students we find that Donnie's factors do  not contain a variable.

For example  if we have an expression

x²+ 4x

Then its factors will be x(x+4) . There has to be a variable.

Donnie's factors are missing a variable . There fore these factors do not completely solve the expression.

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?