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Which of the values shown are potential roots of f(x)=3x^3-13x^2-3x+45? Select all that apply

Which of the values shown are potential roots of f(x)=3x^3-13x^2-3x+45? Select all-example-1

2 Answers

4 votes

Answer: 3 and 5 (b and g)

Explanation:

I got it correct on Edge

User Hansel
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11 votes

f(x)=3x³-13x²-3x+45

f(x)=3x³-9x²-4x²+12x-15x+45

f(x)=3x²(x-3)-4x(x-3)-15(x-3)

f(x)=(x-3)(3x²-4x-15)

f(x)=(x-3)(x-3)(3x+5)

f(x)=(x-3)²(3x+5)

Roots:

x=3

x=-5/3

User Tony Jose
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4.2k points