factor the basic trinomial:
5x^2 + 30x - 35
To factor the trinomial 5x^2 + 30x - 35, first find the greatest common factor of all three terms, which is 5. Then divide each term by the GCF:
5x^2/5 + 30x/5 - 35/5
x^2 + 6x - 7
Now, factor the trinomial x^2 + 6x - 7 into two binomials:
(x + 7)(x - 1)
Therefore, the factored form of the trinomial 5x^2 + 30x - 35 is 5(x + 7)(x - 1).