Question

find the value of p if (x-p) is the factor of the polynomial xpower6 -px5+x4-px3+3x-p+2

Answer 1

x-p is a factor of the given polynomial,

x-p = 0

x = p

Put x = p in given polynomial,

x^6 - px^5 + x⁴ - px³ + 3x - p + 2 = 0

→ p^6 - p(p)^5 + p⁴ - p(p)³+ 3p - p + 2 = 0

→ p^6 - p^6 + p⁴ - p⁴ + 2p + 2 = 0

→ 2p+2 = 0

→ 2p = -2

→ p = -2/2

→ p = -1

Therefore,the value of p is -1

Hope it helps

Answer 2

hope it will help u

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