Choose the product. -7p3(4p2 + 3p - 1)

21 p3 + 8 p2 + 3 p4 - 8 p
28 p6 + 21 p3 - 7 p
-28 p5 - 21 p4 + 7 p3
-21 p5 + 8 p4 - 3 p3

Option C - (-28p⁵-21p⁴+7p³)

Step-by-step explanation:

=> -7p³×4p²= -28p⁵ 1

=> -7p³×3p= -21p⁴ 2

=> -7p× (-1)= 7p³ 3p

Add 1+2+3

=> (-28p⁵-21p⁴+7p³)

Hope this helps you.

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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