Question

Show that 2 is a zero of the polynomial P(x) = x4 – 2x3 + x2 - 4

Answer 1

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# ItzYourQueen01

Answer 2

proof:

zero is the value of x that makes P(x) = 0

$x^{4} - 2x^{3} +x^{2} -4 \\put \\x = 2:-\\\\=2^{4} - 2.2^{3} +2^{2} -4 \\=16 - 16 + 4 - 4\\=0$

as P(2) = 0 , then 2 is one of the zero of the polynomial.