The result of the polynomial operations as requested in the task content are as follows;
- p(X)+q(X) = 6x⁵ +7x⁴ -6x³ +x² +5.
- q(X)-r(X) = 2x⁴ -3x⁵-3x²+x -1.
- p(X)-r(X) = 9x⁵ -5x⁴ -6x³ +x -6.
- r(X)-q(X) = 3x⁵ -2x⁴ +3x² -x +1.
What are the results of the polynomial operations in the task content?
It follows from the task content that the polynomials given are as follows;
p(x)=9x⁵-6x³+2x²
q(x)=7x⁴-3x⁵-x²+5
r(X)2x²+5x⁴-x+6
Hence, the result of the required operations are;
A). p(X)+q(X) = 9x⁵-6x³+2x² + 7x⁴-3x⁵-x²+5
= 6x⁵ +7x⁴ -6x³ +x² +5.
B). q(X)-r(X) = 7x⁴-3x⁵-x²+5 - (2x² +5x⁴-x+6)
= 2x⁴ -3x⁵-3x²+x -1.
C). p(X)-r(X) = 9x⁵-6x³+2x² - (2x² +5x⁴-x+6)
= 9x⁵ -5x⁴ -6x³ +x -6.
D). r(X)-q(X) = 2x² +5x⁴-x+6 -(7x⁴-3x⁵-x²+5)
= 3x⁵ -2x⁴ +3x² -x +1.
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