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denis-greek [22]
3 years ago
8

Which statements are true about the polynomial function?

Mathematics
2 answers:
Airida [17]3 years ago
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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The equation y 16t 2 18t 405 describes the height in feet of a ball thrown downward at 18 feet per second from a height of 405 f
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 0
3 years ago
May someone please help with the way please
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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Thus area of Δ PQT = 17.6 m²

5 0
3 years ago
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Lorico [155]

Answer:

b

Step-by-step explanation:

6 0
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Answer:

  B.  2010.62 ft³

Step-by-step explanation:

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

  V = πr²h . . . . . where r is the radius and h is the height

Filling in the numbers and doing the arithmetic, we get ...

  V = π(8 ft)²(10 ft) = 640π ft³ ≈ 2010.6193 ft³ ≈ 2010.62 ft³

The volume of the cylinder is about 2010.62 ft³.

7 0
4 years ago
For his phone service, Tom pays a monthly fee of $28, and he pays an additional $0.04 per minute of use. The least he has been c
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Answer:

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Step-by-step explanation:

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84.48-28=56.48

56.48/.04=1421

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