What is the gcf of 14x2 and 4xy

1 answer:

4 0

Hi there! The greatest common factor/divisor (gcf / gcd) is 2x.

We can see this by writing the numbers as multipliers:
$14 {x}^{2} = 7 \times 2 \times x \times x$
$4xy = 2 \times 2 \times x \times y$

Now we can see that the factors which are in common are 2 and x. Therefore the greatest common factor/divisor (gcf / gcd) of the two numbers is 2x.

You might be interested in

A ship has a 15-foot-tall mast with a 37.13-foot-long rope that is strung from the top of the mast to the ship's deck. What is t

jeka57 [31]

Answer:

firstly understand the statement
identify your sides
don't forget SOHCAHTOA

7 0

2 years ago

Javier Fortuna has grown to be a famous fashion designer. In 2030 he sold 59,300,000 articles of clothing. What is 59,300,000 in

Minchanka [31]

Answer:

5.93 * 10^7

7 represents the amount of times you moved the decimal

6 0

2 years ago

Read 2 more answers

Find the larger of the two roots of the equation y = -2.2x2 + 63.5x - 17

Luden [163]

The larger of the two roots of the equation $y = -2.2x^2 + 63.5x - 17$ would be 28.59.

<h3>How to find the roots of a quadratic equation?</h3>

Suppose that the given quadratic equation is

$ax^2 + bx + c = 0$

Then its roots are given as:

$x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

The given quadratic equation is

$y = -2.2x^2 + 63.5x - 17$

now, the roots of the equation are

$x = \dfrac{-63.5 \pm \sqrt{63.5^2 - 4(-2.2)(-17)}}{2(-2.2)}\\\\\\x = \dfrac{-63.5 \pm \sqrt{4032.25 - 149.6}}{(-4.4)}\\\\\\x = \dfrac{-63.5 \pm \sqrt{3882.65}}{(-4.4)}\\\\\\x = \dfrac{-63.5 \pm 62.31}{(-4.4)}$