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2 years ago

Express 2x^2+8x+3 in the form 2(x+p)^2+q

Mathematics

1 answer:

e-lub [12.9K]2 years ago

4 0

Answer:

2(x + 2)² - 5

Step-by-step explanation:

Given

2x² + 8x + 3

To obtain the required form use the method of completing the square.

The coefficient of the x² term must be 1, thus factor 2 out of 2x² + 8x

= 2(x² + 4x) + 3

add/subtract ( half the coefficient of the x- term)² to x² + 4x

= 2(x² + 2(2)x + 4 - 4) + 3

= 2(x + 2)² - 8 + 3

= 2(x + 2)² - 5

with p = 2 and q = - 5

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2 years ago

What is the greatest common factor of 9x^{2}y9x 2 y and 5x^{4}y^{2}5x 4 y 2 ?

Musya8 [376]

ANSWER

The greatest common factor is
${x}^{2} y$

EXPLANATION

We want to find the greatest common factor of

$9 {x}^{2} y$

and

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The prime factorizations are;

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and

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2 years ago

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2 years ago

Helpppp. I don’t understand

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2 years ago