Question

What is the remainder when the polynomial 4x2+10x−4 is divided by 2x−1?

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Answer 1

2

Explanation:

Please express your 4x2+10x−4 as 4x^2+10x−4. The " ^ " symbol denotes exponentiation.

Let's use synthetic division to carry out this division. For this purpose the coefficients of the polynomial 4x^2+10x−4 are 4, 10 and -4. If we are to divide this poly by 2x - 1 in long division, the equivalent divisor for use in synthetic div. is 1/2.

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1/2 / 4 10 -4

2 6

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4 12 2 The remainder turns out to be 2.

Answer 2

The remainder is 2

Explanation:

( 4x2 + 10x - 4 ) = ( 2x - 1) ( 2x + 6 ) + 2

So when we multiply the divisor with the quotient and then add the remainder we get the dividend. This is show below :