Please factor the follwoing trinomial.....

-5a^2-26ab-5b^2

- 5a^2 - 26ab - 5b^2 = - 1(5a^2 + 26ab + 5b^2 = - (5a + b)(a + 5b)

check by multiplying.

@ß

Well, there are three methods you could use, but since this is a trinomial, you would factor the polynomial in quadratic form.

Simplifying
-5a^2 + -26ab + -5b^2

Reorder the terms:
-26ab + -5a2 + -5b2

Factor out the Greatest Common Factor (GCF), '-1'.
-1(26ab + 5a2 + 5b2)

Factor a trinomial.
-1((5a + b)(a + 5b))

Final result:
-1(5a + b)(a + 5b)