Answer:

x2 + 24x + 36

Step by Step Solution:

More Icon

STEP

1

:

Trying to factor by splitting the middle term

1.1 Factoring x2+24x+36

The first term is, x2 its coefficient is 1 .

The middle term is, +24x its coefficient is 24 .

The last term, "the constant", is +36

Step-1 : Multiply the coefficient of the first term by the constant 1 • 36 = 36

Step-2 : Find two factors of 36 whose sum equals the coefficient of the middle term, which is 24 .

-36 + -1 = -37

-18 + -2 = -20

-12 + -3 = -15

-9 + -4 = -13

-6 + -6 = -12

-4 + -9 = -13

For tidiness, printing of 12 lines which failed to find two such factors, was suppressed

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

x2 + 24x + 36