Common factor before trinomial factoring: 4n^2-24n-20, 2m^2+22m+36, -3x^2-6x+24, 5t^2-25t+30
For the trinomial factoring, you first need to find the common factor of the coefficients of the trinomials before factoring them.
1. Common factor of 4n^2-24n-20:
The common factor of the coefficients -24 and -20 is 4. This allows you to rewrite the trinomial as:
4(n^2 - 6n - 5)
2. Common factor of 2m^2+22m+36:
The common factor of the coefficients 22 and 36 is 2. This allows you to rewrite the trinomial as:
2(m^2 + 11m + 18)
3. Common factor of -3x^2-6x+24:
The common factor of the coefficients -6 and 24 is -3. This allows you to rewrite the trinomial as:
-3(x^2 + 2x - 8)
4. Common factor of 5t^2-25t+30:
The common factor of the coefficients -25 and 30 is 5. This allows you to rewrite the trinomial as:
5(t^2 - 5t + 6)