Question

In the year 2009, the cost of a flat screen television can be

modeled by the equation C = -10+2 + 500 where t is the


number of years since 2009. Factor this cost polynomial. Note:


Use the to express exponents, for example x^2.

Answer 1

Corrected Question

In the year 2009, the cost of a flat screen television can be modeled by the equation C = -10t^2 + 500 where t is the number of years since 2009. Factor this cost polynomial.

Answer:

`C=10(50-t^2)`

Using express exponents, you write C=10(50-t^2)

Explanation:

To factor the cost polynomial,
`C=-10t^2+500`, we follow these steps.

Step 1: Determine the greatest common divisor of the terms in the polynomial

The terms in the polynomial are
`-10t^2$ and 500`

The greatest common divisor of
`-10t^2$ and 500` is 10.

Step 2: Factor the polynomial by dividing each of the terms with the greatest common divisor obtained above.

`C=10\left((-10t^2)/(10) +(500)/(10)\right)\\C=10(-t^2+50)\\$We can rewrite this as \\C=10(50-t^2)`