For the polynomial below, 2 is a zero. f(x)=x^3+46x-100 express f(x) as a product of linear factors

asked Mar 10, 2024 8.4k views

2 votes

For the polynomial below, 2 is a zero.

f(x)=x^3+46x-100

express f(x) as a product of linear factors

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4 votes

Answer:

Explanation:

$x^3+46x-100=x^3-2x^2+2x^2-4x+50x-100=(x-2)(x^2+2x+50)=\\=(x-2)((x+1)^2+49)= (x-2)(x+(1 - 7 i) ) (x+(1 + 7 i))$

Eugene Khyst answered Mar 14, 2024

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