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Kazeer [188]
3 years ago
12

+ 2 \sqrt{2}x - 6 " alt=" {x}^{2} + 2 \sqrt{2}x - 6 " align="absmiddle" class="latex-formula">
factorise pls​
Mathematics
1 answer:
ikadub [295]3 years ago
3 0

Answer:

The two factors are (x - √2) and (x + 3√2).

Step-by-step explanation:

I'd use the quadratic formula to find the roots of this expression first, and then make factors out of the resultant roots.

Here a = 1, b = 2√2 and c = -6.

Thus, the roots are:

       -2√2 ± √[ (2√2)² - 4(1)(-6) ]

x = -------------------------------------------

                        2

which simplifies to:

      -2√2 ± √32      -2√2 ± 4√2                                      

x = ------------------- = --------------------    Reduce this to x = -√2 ± 2√2

              2                         2

                                         

The two roots are thus x = -√2 + 2√2 and x = -√2 - 2√2, or, after more simplification,

x  = √2 and x = -3√2

If x = √2, then the corresponding factor of the given expression is:

(x - √2).

If x = -3√2, then the corresponding factor is (x + 3√2).

The two factors are (x - √2) and (x + 3√2).

When multiplied together, they yield x² + 2√2x - 6.

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Now find the x intercept by putting y = 0

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Read 2 more answers
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WINSTONCH [101]

Answer:

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Step-by-step explanation:

In this case, the 30% represents the proportion of this specific sample (survey taken by the magazine).

It is a statistic that can be used to estimate a parameter of the population. In this case, it may be used to estimate the true proportion of "people in New York who believe that the Yankees will miss the playoffs this year".

If a new sample is taken, a new statistic will be calculated that may or may not be equal to 30%.

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Answer:

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Step-by-step explanation:

Step 1: Define

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Step 2: Substitute and Evaluate

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