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3 years ago

How to factor a quadratic

Mathematics

1 answer:

Romashka [77]3 years ago

3 0

Answer:

To factor a quadratic polynomial use the equation

Step-by-step explanation:

F(x) = k{x2 - (sum of zeroes)x + (product of zeroes)}

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aniked [119]

Answer:

I really dont understand u

3 0

3 years ago

Complete the factorization of 3x ^ 2 - 10x + 8 3x^ 2 -10x+8=(x- Box x-4)

aniked [119]

Answer:

$3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})$

Step-by-step explanation:

The general form of a quadratic polynomial is given by:

$ax^2+bx+c$ (1)

You have the following polynomial:

$3x^2-10x+8$ (2)

In order to complete the factorization you can use the quadratic formula, to obtain the roost of the polynomial. The quadratic formula is given by:

$x_{1,2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ (3)

By comparing the equation (1) with the equation (2) you obtain:

a = 3

b = -10

c = 8

Then, you replace these values in the equation (3):

$x_{1,2}=\frac{-(-10)\pm \sqrt{(-10)^2-4(3)(8)}}{2(3)}\\\\x_{1,2}=\frac{10\pm2}{6}\\\\x_1=2\\\\x_2=\frac{4}{3}$

Then, the factorization of the polynomial is:

$3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})$

5 0

3 years ago

Polygon WXYZ is dilated by a scale factor of 3 with vertex W as the center of dilation, resulting in polygon W’X’Y’Z’. The coord

Lostsunrise [7]

Dilating polygon WXYZ will change the side lengths of the polygon

The true statement is <em>(b) the slope of WX is 3/4, and the length of W'X' is 15</em>

The coordinates are given as:

$\mathbf{W = (3,2)}$

$\mathbf{X = (7,5)}$

The slope of WX is:

$\mathbf{m =\frac{y_2 - y_1}{x_2 -x_1}}$

So, we have:

$\mathbf{m =\frac{5-2}{7-3}}$

$\mathbf{m =\frac{3}{4}}$

The length of WX is calculated using:

$\mathbf{WX = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}$

So, we have:

$\mathbf{WX = \sqrt{(7- 3)^2 + (5- 2)^2}}$

$\mathbf{WX = \sqrt{25}}$

$\mathbf{WX = 5}$

The scale factor is 3.

So, the distance W'X' is:

$\mathbf{W'X' = 3 \times WX}$

This gives

$\mathbf{W'X' = 3 \times 5}$

$\mathbf{W'X' = 15}$

Hence, the true statement is (b)