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10 Nov 2019
Consider the following polynomials in â3:
q(x) = 2x3+3x2â2x+1
r(x) = 6x3+8x2âx+2
u(x) = x3âx2+7xâ2
For each of the following polynomials, determine whether it is in span{q, r, u}. If so, express it as a linear combination of the polynomials above.
Use, e.g., q rather than q(x) to represent the polynomials in your linear combination.
p1(x) = 4x3+6x2â4x+2 [select answer]
p2(x) = -5x3+x2â8x-8 [select answer]
p3(x) = -9x3â14x2+7xâ5 [select answer]
Consider the following polynomials in â3:
q(x) = 2x3+3x2â2x+1
r(x) = 6x3+8x2âx+2
u(x) = x3âx2+7xâ2
For each of the following polynomials, determine whether it is in span{q, r, u}. If so, express it as a linear combination of the polynomials above.
Use, e.g., q rather than q(x) to represent the polynomials in your linear combination.
p1(x) = 4x3+6x2â4x+2 [select answer]
p2(x) = -5x3+x2â8x-8 [select answer]
p3(x) = -9x3â14x2+7xâ5 [select answer]
Keith LeannonLv2
2 Apr 2019