Question

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What must be subtracted from 4x4 – 2x3 – 6x2 + x – 5, so that the result is exactly divisible by 2x2 + x – 1

Answer 1

$\bold{\boxed{Solution:}}$

Let's divide 4x⁴ - 2x³ - 6x² + x - 5 by 2x² + x - 1.(see in attachment)

We get; (-6)

Hence, (−6) should be subtracted from (4x⁴ − 2x³ − 6x² + x − 5) so that the resulting polynomial is exactly divisible by (2x² + x – 1).

$\bold{\boxed{Thank you!!}}$