5x×5x+8x-1 factorize
Answers
STEP 1:
Equation at the end of step 1
[(0 - 5x2) - 8x] - 1
STEP 2:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
-5x2 - 8x - 1 = -1 • (5x2 + 8x + 1)
Trying to factor by splitting the middle term
3.2 Factoring 5x2 + 8x + 1
The first term is, 5x2 its coefficient is 5 .
The middle term is, +8x its coefficient is 8 .
The last term, "the constant", is +1
Step-1 : Multiply the coefficient of the first term by the constant 5 • 1 = 5
Step-2 : Find two factors of 5 whose sum equals the coefficient of the middle term, which is 8 .
-5 + -1 = -6
-1 + -5 = -6
1 + 5 = 6
5 + 1 = 6
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
-5x2 - 8x - 1