Find the quotient and remainder (i)f(x)=8x^3-6x^2+15x-7,g(x)=2x+1
Answers
The quotient is 4x²-5x+10 and remainder is -17 when the dividend is f(x) =8x³-6x²+15x-7 and divisor is g(x) =2x+1.
Given that,
The function are f(x) = 8x³-6x²+15x-7 and g(x) = 2x+1.
We have to find the quotient and remainder of the functions.
We know that,
What is quotient and remainder?
Dividend, divisor, quotient, and remainder are the four key components of division that make up the dividend divisor quotient remainder formula. The divisor is the component that divides the dividend. The outcome of division is known as the quotient, while the number that remains after division is known as the remainder. The dividend divisor quotient remainder formula is produced via the division method.
So,
The divisor is g(x) = 2x+1.
Dividend is f(x) = 8x³-6x²+15x-7
Now,
2x+1 ) 8x³-6x²+15x-7 ( 4x²-5x+10
8x³+4x²
--------------------------- (Subtraction)
0-10x²+15x-7
-10x²-5x
------------------------------(Subtraction)
0+20x-7
20x+10
----------------------------(Subtraction)
-17
Therefore, The quotient is 4x²-5x+10 and remainder is -17 when the dividend is f(x) =8x³-6x²+15x-7 and divisor is g(x) =2x+1.
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When the dividend is f(x) =8x3-6x2+15x-7 and the divisor is g(x) =2x+1, the quotient is 4x2-5x+10 and the remainder is -17.
The functions are g(x) = 2x+1 and f(x) =8x³-6x²+15x-7
We must determine the functions' quotient and remainder.
Having said that,
The four essential elements of division that make up the dividend divisor quotient remainder formula are dividend, divisor, quotient, and remainder. The element that divides the dividend is known as the divisor. The number that remains after division is known as the remainder, and the result of division is known as the quotient. The division method is used to generate the dividend divisor quotient remainder formula.
So,
G(x) = 2x+1 is the divisor.
F(x) = 8x³-6x²+15x-7 for the dividend.
Now,
2x+ 1 )8x³-6x²+15x-7( 4x²-5x+10
8x³+4x²
--------------------------- (Subtraction)
0-10x²+15x-7
-10x²-5x
------------------------------(Subtraction)
0+20x-7
20x+10
----------------------------(Subtraction)
-17
Therefore, when the dividend is f(x) = 8x³-6x²+15x-7 and the divisor is g(x) = 2x+1, the quotient is 4x²-5x+10 and the remainder is -17.
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