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3 years ago

Which statements are true about the polynomial function?

2 answers:

8 0

F(-2) = -8 + 20 - 12 = 0 so first choice is correct

x^3 + 5x^2 + 6x = x(x^2 + 5x + 6) = x(x + 3)(x + 2)

so second choice is incorrect and third choice is correct

when x = 2 f(x) = 8 + 20 + 12 = 40 so last choice is incorrect.

posledela3 years ago

4 0

Answer:

f(−2)=0

(x+2) is a factor of f(x) .

Step-by-step explanation:

f(x)=x^3+5x^2+6x

LEts factor f(x)

f(x)= x(x^2 +5x+6)

product is 6 and sum is 5

3*2= 6 and 3+2=5

f(x)= x(x+2)(x+3)

Now we check with each option

f(-2)= 0

LEts plug in -2 for x in f(x)

f(x)=x^3+5x^2+6x

f(-2)= (-2)^3 + 5(-2)^2 + 6(-2)= -8 +20-12= 0

f(x) divided by (x−2) has a remainder of 0

f(x)= x(x+2)(x+3)

f(x) does not have factor x-2 so f(x) is not divisible by (x-2)

(x+2) is a factor of f(x)

f(x)= x(x+2)(x+3)

f(x) have factor x+2 so (x+2) is a factor of f(x)

when x=2, f(x)=0

LEts plug in 2 for x in f(x)

f(x)=x^3+5x^2+6x

f(-2)= (2)^3 + 5(2)^2 + 6(2)= 8 +20+12= 40

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kumpel [21]

Answer:

Ball hits the ground after 4.5 sec

Step-by-step explanation:

Let a -1, so that the leading coefficient is positive

So our quadratic is

$-1 \times (16t^2 +18t -405)$

The key coefficients of two binomial variables can be 1 and 16, or 2 and 8, or 4 and 4, for the leading coefficient of 16.

Yet they can't actually be 4 and 4 because the linear (x) term coefficient has to be a multiple of 4, which it isn't and leading coefficients 1 and 16 on the binomial factors is not likely.

So, 2 and 8 taken as the leading coefficients of two binomial factors.

For constant 405, possible factorizations are $(81\times 5, 27 \times 15, 9 \times 45).$

$(16t^2 +18t -405) = (8t + 45) (2t - 9)$

Taking first factor, thus we find negative value for given time t. But second time equivalent to zero gives the value of 4.5 for t

Thus ball hits the ground after 4.5 sec

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3 years ago

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Oksana_A [137]

Answer:

17.6 m²

Step-by-step explanation:

Given the ratio of similar shapes = a : b, then

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Δ PTQ and Δ PRS are similar and so the ratio of corresponding sides are equal, that is

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Anna007 [38]

Answer:

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Step-by-step explanation:

The formula for the volume of a cylinder is ...

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4 years ago

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Answer:

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