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what are the solutions to this polynominal when s(x) =0 s(x) (3x^2 + 17x+10 )(x-7)(4x-3) enter your answers in the boxes, from least to greatest.

User Ben Drury
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4.7k points

2 Answers

6 votes

Answer:-5,-2/3,3/4,7

Explanation:

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User Steven Jeffries
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4.4k points
5 votes

Answer:

-5, -2/3, 3/4, 7

Explanation:

The solutions are solutions of one of the following:

(3x^2 + 17x + 10) = 0, x - 7 = 0, 4x - 3 = 0

The latter two are straightforward: x = 7 or 3/4.

To factor the first, note it must be of the form (3x + __) (x + __)

Check the pairs (10, 1) (1, 10) (5, 2) and (2, 5) and we find:

(3x + 2) (x + 5) = 0

So, we also have solutions -5, -2/3

User Pavel Orekhov
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5.2k points