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2 years ago

Given the trinomial, what is the value of the coefficient 'B' in the factored form?

Mathematics

1 answer:

Zepler [3.9K]2 years ago

5 0

Answer:

B=9 (I'll solve right now, just so you get the answer)

Step-by-step explanation:

$2x^2+14xy-36y^2=2(x+By)(x-2y)$

Expand right side by distributing

$(2x+2By)(x-2y)$

Use the FOIL method to simplify (first, outside, inside, last):

$(a+b)(c+d)=ac+ad+bc+bd$

$(2x*x)+(2x*(-2y))+(2By*x)+(2By*(-2y))\\\\$

Simplify

$2x^2-4xy+2Byx-4By^2$

Re-insert

$2x^2+14xy-36y^2=2x^2-4xy+2Byx-4By^2$

Cancel out $2x^2$

$14xy-36y^2=-4xy+2Byx-4By^2$

Move all terms to one side

$14xy-36y^2+4xy-2Byx+4By^2=0$

Simplify

$18xy-36y^2-2Byx+By^2=0$

Factor out the common term 2

$2(9xy-18y^2-Byx+2By^2)$

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KATRIN_1 [288]

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Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

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Central Limit Theorem

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