Question

Please tell the answers to the 'D' marked questions. Any type of help will be appreciated

Answer 1

120)
Let,
p(x) = x^4+2x^3-2x^2+2x-3
g(x) = x^2+2x-3

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by factorising,
x^2+2x-3
x^2+3x-x-3
x(x+3)-1(x+3)
(x+3)(x-1)

x+3=0. x-1=0
x=0-3. x=0+1
x-3 x=1

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p(-3)= (-3)^4 + 2(-3)^3 - 2(-3)^2 + 2(-3) -3
=81-54-18-6-3
=81-81
=0
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p(1) = (1)^4 + 2(1)^3 - 2(1)^2 + 2(1) -3
= 1+2-2+2-3
=3-3-2+2
=0
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(proved)