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Given f(x)= 4x^3+9x^2-x-6. Factor f(x) given that -1 is a zero

Given f(x)= 4x^3+9x^2-x-6. Factor f(x) given that -1 is a zero
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Given f(x)= 4x^3+9x^2-x-6. Factor f(x) given that -1 is a zero

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User AutomaticAllDramatic
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1 Answer

1 vote

Answer:

HI,

Explanation:


4x^3+9x^2-x-6\\=4x^3+4x^2+5x^2+5x-x-6\\=4x^2(x+1)+5x(x+1)-6(x+1)\\=(x+1)(4x^2+5x-6)\\=(x+1)(4x^2+8x-3x-6)\\=(x+1)(4x(x+2)-3(x+2))\\\\\boxed{=(x+1)(x+2)(4x-3)}\\

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User Detilium
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