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)

Step-by-step 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.

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