Add polynomials:f(x)=2x^3+5x^2-3x+4, g(x)=x^5-2x^2-1 , f(x)+g(x)=

rocedwrp

rocedwrp

Answered question

2021-09-13

Add polynomials:
f(x)=2x3+5x23x+4
g(x)=x52x21
f(x)+g(x)=

Answer & Explanation

faldduE

faldduE

Skilled2021-09-14Added 109 answers

Given polynomial is f(x)=2x3+5x23x+4 and g(x)=x52x21
The task is to add the above polynomials.
Adding the two polynomial means to add the coefficients of same powers of x.
f(x)+g(x)=2x3+5x23x+4+x52x21
Collect the terms having same power of x.
f(x)+g(x)=2x3+(5x22x2)3x+x5+(41)
Add the coefficients:
f(x)+g(x)=2x3+3x23x+x5+3
Arrange the terms with Descending order of powers of x,
f(x)+g(x)=x5+2x3+3x23x+3
which is the required answer.

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