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3 years ago

28 prime factorization

Mathematics

1 answer:

sineoko [7]3 years ago

3 0

Answer:

2 x 2 x 7, or 2^2 x 7

Step-by-step explanation:

Let us use prime factorization to find the prime numbers that make up 28:

28 = 2 x 14

2 is a prime number, 14 is not, so we have our first prime, 2.

14 = 2 x 7

We then further break the number down into two prime numbers, 2 and 7. Since 2 and 7 are prime and we can't break them down any further our answer is 2 x 2 x 7, or 2^2 x 7.

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Step-by-step explanation:

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Factor the polynomial completely using the X method. X2 13x – 48 An x-method chart shows the product a c at the top of x and b a

Ratling [72]

X method is the method to find the factors of the polynomial equation.The factor of the given polynomial is,

$x^2+16x-3x-48=(x+16)(x-3)$

Thus the option 3 is the correct option,

<h3>How to find factor of polynomial using X method?</h3>

X method is the method to find the factors of the polynomial equation.

The standard form of the quadratic equitation is given as,

$ax^2+bx+c$

Given information-

The equation given in the problem is,

$x^2+13x-48$

Compare the above equation with the standard form. We get,

$a=1\\b=13\\c=-48$

To find out the factor of above equation using X method, follow the steps.

Step 1) Multiply $a$ and $c$ and place $ac$ at the top of X as shown in the image.

$ac=1\times(-48)\\ac=-48$

Step 2) Place $b$ at the bottom as shown in the image below.

$b=13$

Step 3) Find two numbers that multiply the top number $ac$ and to the bottom number $b$ .

Step 4) Write the polynomial from the X box as,

$x^2+16x-3x-48=x(x+16)-3(x+16)$

$x^2+16x-3x-48=(x+16)(x-3)$

Hence the factor of the given polynomial is,

$x^2+16x-3x-48=(x+16)(x-3)$

Thus the option 3 is the correct option,

Learn more about the X method here;

brainly.com/question/24379507

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Irina18 [472]

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You are given a mean of 68 inches and a standard deviation of 4.

2 times the standard deviation = 2 x 4 = 8

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Ahat [919]

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