6x²+5x-3/2x-1
division of polynomials
Answers
Step-by-step explanation:
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Step-by-step explanation:
Simplify :-- 6x²+5x-3/2x-1
Trying to factor by splitting the middle term
2.1 Factoring 6x2 - 5x - 3
The first term is, 6x2 its coefficient is 6 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 6 • -3 = -18
Step-2 : Find two factors of -18 whose sum equals the coefficient of the middle term, which is -5 .
-18 + 1 = -17
-9 + 2 = -7
-6 + 3 = -3
-3 + 6 = 3
-2 + 9 = 7
-1 + 18 = 17
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Polynomial Long Division :
2.2 Polynomial Long Division
Dividing : 6x2-5x-3
("Dividend")
By : 2x-3 ("Divisor")
dividend 6x2 - 5x - 3
- divisor * 3x1 6x2 - 9x
remainder 4x - 3
- divisor * 2x0 4x - 6
remainder 3
Quotient : 3x+2
Remainder : 3