a,b,c are the zero polynomials of 2x^3-3x^2+4x+5,then find the value of (1+a)(1+b)(1+c)
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What is the value of (1+a)(1+b)(1+c) if a, b, and c are the zero polynomials of (2x^3-3x^2+4x+5)?
By Factor Theorem :
2x3−3x2+4x+5=2(x−a)(x−b)(x−c) is an identity in x.
Therefore, put x=−1
⟹−2−3−4+5=−2(1+a)(1+b)(1+c)
⟺(1+a)(1+b)(1+c)=2■
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