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F(x) = x3 – x2 – 17x – 15?

1 Answer

2 votes

Answer:

Zeroes are -3, -1 and 5.

Explanation:

I'm assuming you want the zeroes of this expression.

f(x) = x3 – x2 – 17x – 15 = 0

f(-1) = -1 - 1 + 17 - 15 = 0

So x = -1 is one zero.

- therefore x + 1 is a factor of f(x) so we divide:

x + 1) x3 – x2 – 17x – 15 ( x2 - 2x - 15 <-------- Quotient

x3 + x2

-2x2 - 17x

-2x2 - 2x

-15x - 15

-15x - 15

x2 - 2x - 15 = 0

--->(x + 3)(x - 5) = 0

---> x = -3, 5

answered
User KV Prajapati
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