how to factor 25s^2+29s+9

Question

need help asap i prefer step by step cuz I have major trouble with math

Answer 1

25s²+29s+9 has only complex factors.

If the quadratic formula s=(-29±√(29²-4×25×9))/(2×25) is used, s will not be a real number.

This is because 29²=841 and 4×25×9=900.

The discriminant 841-900=-59, and the square root of a negative number is a complex number (involving the imaginary √-1).

Factoring of this expression isn't possible using real numbers.

25s²+30s+9=(5s+3)², so 25s²+29s+9=(5s+3)²-s=(5s+3-√s)(5s+3+√s) is a sort of "mock factoring".