Verify the division algorithm for the polynomials p(x)=2x⁴-6x³+2x²-x+2 and g(x)=x+2.
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Answer:
p(x)=22
Step-by-step explanation:
p(x)=x+2
=x=(-2)
p(-2)=2(-2)^4-6(-2)^3+2(-2)^2-x+2
= 2(16)-2(-8)+2(4)-x+2
= 32+(-16)+8-x+2
= 32-16+8-x+2
= 16+8-x+2
= 24-x+2
= 2-24-x
= -22-x
= x=22
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