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3 years ago

Using the distibutive property to factorize the equation 3x^2+24x=0

Mathematics

1 answer:

Colt1911 [192]3 years ago

5 0

The final factored form of this is 3x(x + 8) = 0

In order to find this, we need to find the greatest common denominator of the coefficients. To do that, we can list the factors of each number.

Factors of 3: 1, 3

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

The greatest factor that they share is 3. Therefore we can factor out a 3.

3(x^2 + 8x) = 0

Now we look for how many x's we can take out. Since each have at least one x, we take out 1 x.

3x(x + 8) = 0

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$A(-1,4)\to A''(-1,-1)$

$B(0,2)\to B''(1,0)$

$C(1,2)\to C''(1,1)$

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Step-by-step explanation:

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