let p1(x) = x^2-3x-10 ,p2(x)=x^2-5x+1,p3(x)=x^2+2x+3 and p4(x)=x+5 a- Using standard polynomIAL ADDITION ,what polynomial ax^2+bx+c can...

let p1(x) = x^2-3x-10 ,p2(x)=x^2-5x+1,p3(x)=x^2+2x+3 and p4(x)=x+5

a- Using standard polynomIAL ADDITION ,what polynomial ax^2+bx+c can be expressed as linear combination of p1(x),p2(x),p3(X),p4(x)

b- a polynomial is equal to zero if and only if all it's coefficient to zero . solve for a1,a2,a3,a4 by expanding ,written as polynomial in x,and setting each coefficient equal to zero:

a1p1(x)+a2p2+a3p3(x)+a4p4(x)=0

Expert Solution

Colby Messinger answered 1 year ago

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Question

let p1(x) = x^2-3x-10 ,p2(x)=x^2-5x+1,p3(x)=x^2+2x+3 and p4(x)=x+5 a- Using standard polynomIAL ADDITION ,what polynomial ax^2+bx+c can...

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