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Karolina [17]
3 years ago
13

Factor completely, then place the answer in the proper location on the grid. 6х^2 - 3х - 30

Mathematics
1 answer:
Tems11 [23]3 years ago
7 0

Answer:

3(x + 2)(2x - 5)

Step-by-step explanation:

Given

6x² - 3x - 30 ← factor out 3 from each term

= 3(2x² - x - 10) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 10 = - 20 and sum = - 1

The factors are + 4 and - 5

Use these factors to split the x- term

2x² + 4x - 5x - 10 ( factor the first/second and third/fourth terms )

= 2x(x + 2) - 5(x + 2) ← factor out (x + 2) from each term

= (x + 2)(2x - 5), thus

2x² - x - 10 = (x + 2)(2x - 5) and

6x² - 3x - 30

= 3(x + 2)(2x - 5) ← in factored form

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Answer:

x = 3

Step-by-step explanation:

6 <em>+</em><em> </em><em>5</em><em>x</em><em> </em>= 21

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<em>x</em><em> </em><em>=</em><em> </em><em>3</em>

I hope this helps

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Step-by-step explanation:

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2 years ago
Hi please help me answer this!!
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The numbers that are irrational are B. √72 and D.√23.

<h3>What are irrational numbers?</h3>

Irrational numbers are those that have infinite numbers after the decimal. These numbers are also none repeating.

When the above are solved:

√25 = 5

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The only two numbers with non-repeating and infinite numbers are √72 and √23.

Find out more on irrational numbers at brainly.com/question/20400557

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