1.) (a) Simplify by multiplying 2x² – 3x + 5 by x³ + x – 3.
(b) Use long division to determine the quotient, q (x) and the remainder, r (x), when:
10x⁵ + x³ + 5x² – 2x – 2 is divided by 5x² – 2.
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Step-by-step explanation:
a) (2x2-3x+5)(x3+x-3) =
2x5+2x3-6x2-3x4-3x2+9x+5x3+5x-15
2x5-3x4+7x3-9x2+14x-15
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