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CBSE Class 10 Answered

Why left parenthesis x minus alpha right parenthesis left parenthesis x minus beta right parenthesis are the factors of f left parenthesis x right parenthesis equals a x squared plus b x plus c if alpha & beta are the zeros also why can't left parenthesis x plus alpha right parenthesis left parenthesis x plus beta right parenthesis be the factors of f(x).
Asked by Ananay | 10 Apr, 2017, 05:48: PM
answered-by-expert Expert Answer

begin mathsize 14px style Hi comma space space
By space Factor space theorem comma space
if space straight alpha space and space straight beta space are space the space zeroes space of space the space polynomial space straight f left parenthesis straight x right parenthesis equals space ax squared plus bx plus straight c equals 0 comma
left parenthesis straight x minus straight alpha right parenthesis space and space left parenthesis straight x minus straight beta right parenthesis space are space the space factors space of space the space polynomials space ax squared plus bx plus straight c equals 0 end style

Answered by | 10 Apr, 2017, 06:21: PM
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