[tex]35d+5d^2-30=5(d^2+7d-6)[/tex]
Factoring a expression--
It means that we have to represent our expression in product of it's factors.
We are given a quadratic expression in terms of variable d by:
[tex]35d+5d^2-30[/tex]
Now, as all the three terms have a Greatest common divisor i.e. gcd as 5.
Hence, we take out common 5 from all the terms.
i.e. the expression could be represented by:
[tex]35d+5d^2-30=5(7d+d^2-6)[/tex]
which could be represented by:
[tex]35d+5d^2-30=5(d^2+7d-6)[/tex]
Now, no further factors could be found.
Hence, the answer is:
[tex]35d+5d^2-30=5(d^2+7d-6)[/tex]
