Question

HS: Algebra 2A [M] (Prescriptive) (GP)/ 5 Quadratic Functions

2. Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.
y=(x - 5)(5x+4)-5x?
linear function
linear term: 15x
constant term: -25
quadratic function
quadratic term: 5x?
linear term: 15x
constant term: -25
quadratic function
quadratic term: -5x?
linear term: -21%
constant term: -20
linear function
linear term: -21x
constant term: -20
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Answer 1

Linear, the linear term is -21x and the constant term is -20. Last option is the answer

Explanation:

We are given the following function:

`y = (x - 5)(5x + 4) - 5x^2`

First we have to simplify y, before solving the question:

`y = (x - 5)(5x + 4) - 5x`

Applying the distributive property:

`y = 5x^2 + 4x - 25x - 20 - 5x^2`

`y = 0x^2 - 21x - 20`

`y = -21x - 20`

No quadratic term, so it is linear.

The linear term is -21x and the constant term is -20.