I need help on this true or false question for all parts. Thank you A.) Every polynomial with real coefficients can be factored into a product of linear factors with real coefficientsand/or irreducible quadratic factors with real coefficients.B.) If a, >0 and lim a, <1, then lim a, = 0.n00C.) If la, is convergent, thenEa, is also convergent.i=1i=1D.) A polar function can always be written as a parametrically defined function.E.) Suppose a curve C is described by the vector function r(t)= (x(t), y(t),z(t)) where r'(t) is continuousand C is traversed exactly once as t goes from a to b, then the length of C is r(t) dt .F.) If lim a, = 0, then > a, convergesi=1G.) If a power series f (x)=Ea,x* has an interval of convergence I =(-b,b), then | f (x)dx has a powerk=1series with the same interval of convergence.H.) Given a, b and c are nonzero vectors in R', then (axb)•(axc)=0I.) (u+v)•(u- v)=||u|| -||v|| for u and v vectors in R'J) (uxv).w =u•(vxw) for u, v and w vectors in R'.

Name: I need help on this true or false question for all parts. Thank you A.
Uploaded: 2024-03-20T07:07:37.000Z
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Description: I need help on this true or false question for all parts. Thank you A.) Every polynomial with real coefficients can be factored into a product of linear factors with real coefficientsand/or irreducible quadratic factors with real coefficients.B.) If

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A.) Every polynomial with real coefficients can be factored into a product of linear factors with real coefficients and/or irreducible quadratic factors with real coefficients. B.) If a, >0 and lim a, <1, then lim a, = 0. C.) If Ela| is convergent, then a, is also convergent. i=1 i=1