Answer:
8x2 − 8x − 13
Explanation:
(((3•(x2))+5x)-8)+((5x2-13x)-5)
((3x2 + 5x) - 8) + (5x2 - 13x - 5)
Factoring 8x2-8x-13
The first term is, 8x2 its coefficient is 8 .
The middle term is, -8x its coefficient is -8 .
The last term, "the constant", is -13
Step-1 : Multiply the coefficient of the first term by the constant 8 • -13 = -104
Step-2 : Find two factors of -104 whose sum equals the coefficient of the middle term, which is -8 .
-104 + 1 = -103
-52 + 2 = -50
-26 + 4 = -22
-13 + 8 = -5
-8 + 13 = 5
-4 + 26 = 22
-2 + 52 = 50
-1 + 104 = 103
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
8x2 - 8x - 13 ✅