Question

H(t) = -16t2 + 60t + 82
Factor
No direct answers please

Answer 1

Reduce your given f(x) by taking a common number

Answer 2

....there is no gcf

Answer 3

At the very least, as far as constant coefficients are concerned, you can pull out \(-2\).
\[-16t^2+60t+82=-2\left(8t^2-30t+41\right)\]
Since \(41\) is prime, you know that if the quadratic can be factored, it will be in the form
\[-2(ax-41)(bx-1)\]
If you expand this you get
\[-2(abx^2-(a+41b)x+41)\]
which means \(ab=8\) and \(-30=a+41b\).

Answer 4

Oops should be \(a+41b=\color{red}+30\)