Mathematics: Write (x−3)(x+2)^2 in standard form.

Write (x−3)(x+2)^2 in standard form. - id32213408838, sarah5707

21tywmeb

20.06.2021

Step-by-step explanation:

Enter a problem...

Algebra Examples

Popular Problems Algebra Write the Function in Standard Form f(x)=-3(x+2)^2+6

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To write an equation in standard form, move each term to the right side of the equation and simplify.

Simplify

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whocares1234

08.04.2022

The negative solution is

Step-by-step explanation:

Let the number be

Then 5 times the number is 5x.

14 less than the square of the number is

${x}^{2} - 14$

So our equation becomes

$5x = {x}^{2}- 14$

This implies that

${x}^{2} - 5x - 14 = 0$

We factor to get:

${x}^{2} - 7x + 2x - 14 = 0$

x(x - 7) + 2(x - 7) = 0

(x - 7)(x + 2) = 0

$x + 7 = 0 \: or \: x - 2 = 0$

$x = 7 \: or \: x = - 2$

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