-3x + 1

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x² - 2 | -3x³ + x² + 6x - 2

-3x³ + 6x

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x² - 2

x² - 2

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0

-3x + 1

----------------

x² - 2 | -3x³ + x² + 6x - 2

-3x³ + 6x

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x² - 2

x² - 2

----------------

0

5x(4x2−2x+1)−2x(10x2−5x+2)=−36

\(5 x \cdot 4 x^{2} + 5 x \cdot \left(\right. - 2 x \left.\right) + 5 x \cdot 1 + \left(\right. - 2 x \left.\right) \cdot 10 x^{2} + \left(\right. - 2 x \left.\right) \cdot \left(\right. - 5 x \left.\right) + \left(\right. - 2 x \left.\right) \cdot 2 = - 36\) \(20 x^{3} + \left(\right. - 10 x^{2} \left.\right) + 5 x + \left(\right. - 20 x^{3} \left.\right) + 10 x^{2} + \left(\right. - 4 x \left.\right) = - 36\)

\(\left(\right. 20 x^{3} - 20 x^{3} \left.\right) + \left(\right. - 10 x^{2} + 10 x^{2} \left.\right) + \left(\right. 5 x - 4 x \left.\right) = - 36\)

A;P(x)+Q(x)=(x4−x4)+(−5x3)+(3x2)+(4x+2x)+(−5+1)

=−5x3+3x2+6x−4

B; P(x)=R(x)+Q(x)

R(x)=(x4−5x3+4x−5)−(−x4+3x2+2x+1)

=x4−5x3+4x−5+x4−3x2−2x−1

=(x4+x4)+(−5x3)+(−3x2)+(4x−2x)+(−5−1)

R(x)=2x4−5x3−3x2+2x−6