Question

find the difference of polynomials given below
f (x)= x^4 + x^3 - x^2 + 4 x + 5 and
g (x)=) x^3 + x^2 + X + 1

Answer 1

1 at is of degree 4 but 2nd is of degree 3

Answer 2

Given

f ( x ) = x^4 + x^3 - x^2 + 4x + 5

g ( x ) = x^3 + x^2 + x + 1

To find

f ( x ) - g ( x )

Solution

f ( x ) - g ( x )

= ( x^4 + x^3 - x^2 + 4x + 5 ) - ( x^3 + x^2 + x + 1 )

= x^4 + x^3 - x^2 + 4x + 5 - x^3 - x^2 - x - 1

= x^4 - 2x^2 + 3x + 4

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