Question

Solve to simplest form (2x^2 +25x +50) - (x^2 +2x +1)

Answer 1

Final result :

x2 + 23x + 49
Step by step solution :

Step 1 :

Equation at the end of step 1 :

((2x2 + 25x) + 50) - (x2 + 2x + 1)




Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring x2+23x+49

The first term is, x2 its coefficient is 1 .
The middle term is, +23x its coefficient is 23 .
The last term, "the constant", is +49

Step-1 : Multiply the coefficient of the first term by the constant 1 • 49 = 49

Step-2 : Find two factors of 49 whose sum equals the coefficient of the middle term, which is 23 .

-49 + -1 = -50
-7 + -7 = -14
-1 + -49 = -50
1 + 49 = 50
7 + 7 = 14
49 + 1 = 50

Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

Final result :

x2 + 23x + 49

Answer 2

Thank you so much!