SOLUTION: Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms. {{{y=(x-5)(5x+4)-5x^2}}} A) Quadratic function. Quadratic term: {{{

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms. {{{y=(x-5)(5x+4)-5x^2}}} A) Quadratic function. Quadratic term: {{{      Log On


   

Question 1119016: Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.
y=%28x-5%29%285x%2B4%29-5x%5E2
A) Quadratic function.
Quadratic term: -5x%5E2
Linear term: -21x
Constant term: -20
B) Linear function.
Linear term: 15x
Constant term: -25
C) Linear function.
Linear term: -21x
Constant term: -20
D) Quadratic function.
Quadratic term: 5x%5E2
Linear term: 15x
Constant term: -25
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

You must simplify the expression before trying
to answer the questions.  Here's what you must 
do first:



So you see, since the x² term cancels out, it is
not a quadratic function, but a linear function.

Edwin