Respuesta :
The factor of the expression for the height of the firework which is fired vertically into the air after t seconds is -5(t²-20t-8).
What is factor of polynomial?
Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.
A firework is fired vertically into the air at a speed of 100 m/s. The expression which gives the height of the firework after t seconds is,
[tex]-5t^2 + 100t + 40[/tex]
Here, (t) is the time.
The expression has to factorized. This expression is quadratic expression. To factor this expression take out the greatest common factor (-5),
[tex]-5t^2 + 100t + 40\\-5(t^2 -20t-8)[/tex]
Hence, the factor of the expression for the height of the firework which is fired vertically into the air after t seconds is -5(t²-20t-8).
Learn more about factor of polynomial here;
https://brainly.com/question/24380382
