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4 years ago

Evaluate the following expressions for x = -4

Mathematics

1 answer:

Vilka [71]4 years ago

6 0

Answer:

-1/16

-1/4

-4

Step-by-step explanation:

Put x as -4 and solve.

-4^-2 = 1/-4^2 = -1/16

-4^-1 = 1/-4 = -1/4

-4^0 = 1

-4^1 = -4

-4^2 = 16

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3 years ago

Find a polynomial P(x) with the zeros x=2, −(2), √3, −√3

Zigmanuir [339]

Answer:

P(x) = $x^{4}$ - 7x² + 12

Step-by-step explanation:

Given zeros x = 2, x = - 2, x = $\sqrt{3}$ , x = - $\sqrt{3}$

Then the factors are (x - 2), (x + 2), (x - $\sqrt{3}$ ), (x + $\sqrt{3}$ )

and the polynomial is the product of the factors, that is

P(x) = (x - 2)(x + 2)(x - $\sqrt{3}$ )(x + $\sqrt{3}$ ) ← expand in pairs using FOIL

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= $x^{4}$ - 7x² + 12

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3 years ago

Write the equation of the following graph in intercept form.

Kobotan [32]

Answer:

A) $f(x)=0.2(x+2)(x-5)$

Step-by-step explanation:

The graph has x-intercepts at $x=5$ and $x=-2$ , so our factors for the polynomial will be $x+2$ and $x-5$ . This means we can rule out options B and D.

Our graph also has a y-intercept of $y=-2$ when $x=0$ , so if we let $f(x)=-2$ and $x=0$ , we can find the multiplier:

$f(x)=a(x+2)(x-5)\\-2=a(0+2)(0-5)\\-2=a(2)(-5)\\-2=-10a\\\frac{1}{5}=a\\0.2=a$

Thus, the correct equation is A) $f(x)=0.2(x+2)(x-5)$

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3 years ago

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