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2 years ago

Which are factors of x² - 4x - 5? Select two options.

Mathematics

2 answers:

Annette [7]2 years ago

5 0

Answer:

(x-5) & (x+1)

Step-by-step explanation:

fiasKO [112]2 years ago

4 0

Answer:

(x - 5) and (x + 1)

Step-by-step explanation:

x² - 4x - 5

consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (- 4)

the factors are - 5 and + 1 , since

- 5 × + 1 = - 5 and - 5 + 1 = - 4 , then

x² - 4x - 5 = (x - 5)(x + 1)

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How do u factor this

PilotLPTM [1.2K]

You can factor a parabola by finding its roots: if

$p(x)=x^2+bx+c$

has roots $x_1,\ x_2$ , then you have the following factorization:

$p(x) = (x-x_1)(x-x_2)$

In order to find the roots, you can use the usual formula

$x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

In the first example, this formula leads to

$x_{1,2} = \dfrac{-2\pm\sqrt{4+4}}{2} = \dfrac{-2\pm\sqrt{8}}{2} = \dfrac{-2\pm2\sqrt{2}}{2} = 1 \pm \sqrt{2}$

So, you can factor

$x^2-2x-1 = (x-1-\sqrt{2})(x-1+\sqrt{2})$

The same goes for the second parabola.

As for the third exercise, simply plug the values asking

$f(1.5)=-5.25$

you get

$f(-1.5) = 1.5c-3 = -5.25$

Add 3 to both sides:

$1.5c = -2.25$

Divide both sides by 1.5:

$c = 1.5$

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Step-by-step explanation:

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