Question

Factorise x² + 5x + 25 completely ​

Answer 1

The first term is, x2 its coefficient is 1 .

The middle term is, -5x its coefficient is -5 .

The last term, "the constant", is -25

Step-1 : Multiply the coefficient of the first term by the constant 1 • -25 = -25

Step-2 : Find two factors of -25 whose sum equals the coefficient of the middle term, which is -5 .

-25 + 1 = -24

-5 + 5 = 0

-1 + 25 = 24

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored