Question

13.

Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms. y=(x-1)(4x+2)-4x^(2)

A.
linear function
linear term: 7x
constant term: –4

B.
linear function
linear term: -2x
constant term: –2

C.
quadratic function
quadratic term: -4x^(2)
linear term: -2x
constant term: –2

D.
quadratic function
quadratic term: 4x^(2)
linear term: 7x
constant term: –4

Answer 1

B.

linear function

linear term: -2x

constant term: –2

Explanation:

Find the degree of the equation to determine if linear.

Linear

Find the constant of variation.

y

doesn't vary directly with

x

Hello,

Multiplying (x-1) by (4x+2) the term in x² is x*4x=4x².

If we substract 4x² the term of y in x² will be 0.

The function is not quadratic.

Since 4x*(-1)+2*x=-2x (product of terms in x) : the function is thus linear.

Constant term is -1*2=-2

f(x) = (3x+2)(-6x-3) Use the FOIL method to multiply out the factors: f(x) = -18x2 - 9x - 12x -6 Combine like terms: f(x) = -18x2 -21x - 6

The function is quadratic ax^2+bx+c. ax^2=quadratic.

bx=linear.

c=constant.