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Naddika [18.5K]
3 years ago
6

Rewrite the equation by completing the square. X^2+8x+12=0

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
3 0

Answer:

(x + 4)² - 4 = 0

Step-by-step explanation:

Given

x² + 8x + 12 = 0

To complete the square

add/ subtract ( half the coefficient of the x- term )² to x² + 8x

x² + 2(4)x + 16 - 16 + 12 = 0

(x + 4)² - 4 = 0

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write the equation for a polynomial of least degree with integer coefficients given the following zeros: -2, -6, -10i. leave you
lorasvet [3.4K]

The equation of the polynomial in factored form is (x+2)(x+6)(x-10) = 0

<h3>What is a polynomial?</h3>

A polynomial is an algebraic equation with at least the power of its variable 3.

Analysis:

if -2, -6, -10i are the zeroes of the polynomial, it means x = -2, x = -6, x = -10i

if x = -2, (x+2) is a factor, (x+6) is a factor.

convert x = -10i to a real number,

i = \sqrt{-1}

-10\sqrt{-1} = 10\sqrt{- -1} = 10\sqrt{1} = 10

x = 10, so (x-10) is a factor.

Therefore equation of the polynomial in factored form is (x+2)(x+6)(x-10) = 0

Learn more about polynomial: brainly.com/question/2833285

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2 years ago
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3 years ago
What’s the approximate value of tan 1
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Which statement, if any, can you prove based on the figure below?
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3 years ago
What is <br> (2x - 5)(x + 4)
Lubov Fominskaja [6]

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Step-by-step explanation:

2x - 5 · x + 4

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2 · x² - 20

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