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

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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.

AbsorbingMan AbsorbingMan · Answer 2 · 2019-08-13T09:07:31+02:00

AbsorbingMan AbsorbingMan

13-08-2019

Answer:

The remainder is 2

Step-by-step 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 :

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What is the remainder when the polynomial 4x2+10x−4 is divided by 2x−1? Enter your answer in the box.

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

Enter your answer in the box.