divide 3x²+5x-1 by 2x+1
Answers
Answer:
3x-1
_________________
x+2) 3x^2+5x-13x
2
+5x−1
3x^2+6x3x
2
+6x
__(-)___(-)________
-x-1
-x-2
____(+)_(+)______
1
_________
Therefore the quotient is 3x-1 and remainder is 1
Now verify the division algorithm :
Dividend =quotient\times divisor + remainderDividend=quotient×divisor+remainder
3x^2+5x-1=(3x-1)\times (x+2)+13x
2
+5x−1=(3x−1)×(x+2)+1
By using Distributive property :
(x+y)(a+b)=x(a+b)+y(a+b)
3x^2+5x-1=(3x)(x+2)-1(x+2)+13x
2
+5x−1=(3x)(x+2)−1(x+2)+1
By using Distributive property :
a(x+y)=ax+ay
3x^2+5x-1=3x(x)+3x(2)-1(x)-1(2)+13x
2
+5x−1=3x(x)+3x(2)−1(x)−1(2)+1
3x^2+5x-1=3x^2+6x-x-2+13x
2
+5x−1=3x
2
+6x−x−2+1
Adding the like terms
3x^2+5x-1=3x^2+5x-13x
2
+5x−1=3x
2
+5x−1
Hence the Division Algorithm is verified
Answer:
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Step-by-step explanation:
what happens to the image distance in the eye when we increase the distance of an object from the eyes
what happens to the image distance in the eye when we increase the distance of an object from the eyes