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uysha [10]
3 years ago
9

If P(x)= 3x^4 - 5x^3 - 17x^2 + 13x + 6, and P(1)=0, and P(-2)=0, then the factorization of P(x) is?

Mathematics
1 answer:
liberstina [14]3 years ago
5 0

Answer:

P(x) = (x - 1)(x + 2)(x - 3)(3x + 1)

Step-by-step explanation:

Since P(1) = 0 and P(- 2) = 0, then

(x - 1) and (x + 2) are factors of P(x)

(x - 1)(x + 2) = x² + x - 2 ← is also a factor of P(x)

dividing 3x^{4} - 5x³ - 17x² + 13x + 6 by x² + x - 2 gives

P(x) = (x - 1)(x + 2)(3x² - 8x - 3) = (x - 1)(x + 2)(x - 3)(3x + 1)


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Damm [24]

Answer:

The equation is: \frac{x}{2} = 7.3

Step-by-step explanation:

Caroline was thinking of a number.

We are going to call this number x.

Caroline halves the number and gets 7.3.

To find half of a number, we multiply by 1/2. So

\frac{1}{2} \times x = 7.3

\frac{x}{2} = 7.3

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2 years ago
You are shopping at a department store and all items currently are being sold at full price. You discover that next week the dep
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Answer:

$10.45

Step-by-step explanation:

You need to add up the total price before the sale and after then subtract

<em>18.95 + 7.99 = </em><em>$26.94</em>

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<em>26.94 - 16.49 = </em><em>$10.45</em>

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4х + 3у = — 2<br> Зу = 4 -x<br> х =?<br> у =?
zlopas [31]

Answer: x=-2, y=2

Step-by-step explanation:

(SUBSTITUTION)

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3 years ago
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Alina [70]

18 x 3 + 12 - 1 x 34 + 13 - 2 x 56 = 67

<=Work=>

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3 years ago
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tamaranim1 [39]

Answer:

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Two lines that are perpendicular have slopes that are opposite reciprocals.

Since the slope of the given line is 4/5, the opposite reciprocal of that is -5/4. So the equation has a slope of -5/4.

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3 years ago
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