When 10x2 + x - 23 is divided by (2x +
3), the remainder is
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when 10x²+x-23 divide by 2x+3 is equals to 5x-7
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The remainder when the expression 10 x² + x - 23 is divided by (2x + 3) is - 2.
Given: The expression 10 x² + x - 23 is divided by (2x + 3).
To Find: The remainder when the expression 10 x² + x - 23 is divided by (2x + 3).
Solution:
- To find the remainder when an expression is divided by another expression, we used the remainder theorem.
- We take a function f(x) of the expression and if it is divided by ( x - a ), then the remainder is f(a).
According to the sum,
f(x) = 10 x² + x - 23 is divided by ( 2x + 3 ) or x = - 3/2
So putting x = - 3/2 in f(x), we shall get the remainder;
f ( - 3/2 ) = 10 × ( - 3/2 )² + ( - 3/2 ) - 23
= ( 42 / 2 ) - 23
= - 2
Hence, the remainder when the expression 10 x² + x - 23 is divided by (2x + 3) is - 2.
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