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Mathematics, 28.08.2019 03:00 pupucitomarron

Factor completely and then place the factors in the proper location on the grid. x^2 - 5x - 14

Answers

ansver

Answer from: carlshiabrown

$x^2 - 5x - 14=\\
x^2+2x-7x-14=\\
x(x+2)-7(x+2)=\\
(x-7)(x+2)$

ansver

Answer from: chem64

The factors are (x-7) and (x+2)

Step-by-step explanation:

we have

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

To find the factors equate the equation to zero

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

Group terms that contain the same variable, and move the constant to the opposite side of the equation

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

Complete the square. Remember to balance the equation by adding the same constants to each side

$x^{2} -5x+6.25=14+6.25$

$x^{2} -5x+6.25=20.25$

Rewrite as perfect squares

$(x-2.5)^{2}=20.25$

$(x-2.5)=(+/-)\sqrt{20.25}$

(x-2.5)=(+/-)4.5

x=2.5(+/-)4.5

x=2.5+4.5=7

x=2.5-4.5=-2

therefore

$x^{2} -5x-14=(x-7)(x+2)$

using a graphing tool see the attached figure

The factors of the quadratic equation are the x-intercepts (values of x when the value of the function is equal to zero)

Factor completely and then place the factors in the proper location on the grid. x^2 - 5x - 14

ansver

Answer from: Quest

1/2*qr*rs

step-by-step explanation:

ansver

Answer from: Quest

Ibelieve the answer is b

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