Question

check whether x+5 is a factor of of x⁴+4x³-2x²+10x-25 or not​

Answer 1

Step-by-step explanation:

${x}^{4} + 4 {x}^{3} - 2 {x}^{2} + 10x - 25 \\ x + 5 = 0 \\ x = - 5 \\ {( - 5)}^{4} + 4 {( - 5)}^{3} - 2 {( - 5)}^{2} + 10( - 5) - 25 \\ = 625 - 500 - 50 - 50 - 25 \\ = 625 - 625 \\ = 0$

x + 5 is a factor of the given polynomial

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