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2 years ago

HELPPP

Mathematics

1 answer:

Mazyrski [523]2 years ago

6 0

Answer:

Hello,

Step-by-step explanation:

y-intercept: x=0 ,f(0)=-10

$x^3-8x^2+17x-10\\\\=x^3-5x^2-3x^2+15x+2x-10\\\\=x^2(x-5)-3x(x-5)+2(x-5)\\\\=(x-5)(x^2-3x+2)\\\\=(x-5)(x^2-x-2x+2)\\\\=(x-5)(x(x-1)-2(x-1))\\\\=(x-5)(x-1)(x-2)\\$

x-intercepts are: 5,1,2.

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Plug in the "x" and "y" values from the ordered pairs into the equation.
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For B: 5 = $\frac{1(1)}{5}$ → 5 ≠ $\frac{1}{5}$ → B is eliminated.
For C: 2 = $\frac{1(10)}{5}$ → 2 = 2 → C satisfies the equation.
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