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IRINA_888 [86]
3 years ago
5

12x^3+2x^2-30x-5 factoring

Mathematics
2 answers:
harkovskaia [24]3 years ago
8 0
<span><span>12<span>x3</span>+2<span>x2</span>−30x−5</span><span>12<span>x3</span>+2<span>x2</span>-30x-5</span></span> 
Group the first two terms and the last two terms.<span><span><span>(12<span>x3</span>+2<span>x2</span>)</span>+<span>(−30x−5)</span></span><span><span>(12<span>x3</span>+2<span>x2</span>)</span>+<span>(-30x-5)</span></span></span> 

Factor out the greatest common factor (GCF) from each group.<span><span>2<span>x2</span><span>(6x+1)</span>−5<span>(6x+1)</span></span><span>2<span>x2</span><span>(6x+1)</span>-5<span>(6x+1)</span></span></span>
Factor the polynomial by factoring out the greatest common factor, <span><span>6x+1</span><span>6x+1.</span></span><span><span><span>(6x+1)</span><span>(2<span>x2</span>−5)</span></span><span><span>(6x+1)</span><span>(2<span>x2</span>-5<span>)</span></span></span></span>
IRISSAK [1]3 years ago
5 0

{12x}^{3}  +  {2x}^{2}  - 30x - 5 \\  = 2 {x}^{2} (6x + 1) - 5(6x + 1) \\  = (6x + 1)( {2x}^{2}  - 5)

Hope this helps. - M
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Which of the following is not a Pythagorean triple?. . A.. 28, 45, 53. B.. 16, 63, 65. C.. 13, 84, 85. D.. 11, 61, 62.
Anna11 [10]
A set of numbers is said to be Pythagorean triple if the sum of the squares of the lesser numbers equal the square of the remaining number,

A. 28² + 45² = 2809    ;  53² = 2809     ; EQUAL
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C. 13² + 84² = 7225    ;  85² = 7225     ; EQUAL
D. 11² + 61² = 3842    ;   62² = 3844     ; NOT EQUAL

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6 0
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Answer:

C

Step-by-step explanation:

49x² + 28xy + 4y² ← is a perfect square of the form

(ax + by)² = a²x² + 2abxy + b²y²

49 = 7² ⇒ a = 7 and 4 = 2² ⇒ b = 2

2ab = 2 × 7 × 2 = 28

Hence

49x² + 28xy + 4y² = (7x + 2y)²

with factor 7x + 2y ⇒ C

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Answer:

1 \frac{7}{12}  \: or \: 1.583

Step-by-step explanation:

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