25 points

2. what is the product of -2 x^3+x-5 and x^3-3 x-4?

(a)show your work.

(b) equal to the product of -2 x^3+x-5 and x^3-3 x-4 ?
explain your answer.

  -2x^6 +7x^4 +3x^3 -3x^2 +11x +20

Step-by-step explanation:

(a) I wrote the coefficients down as ...

  -2  0   1   -5

   1   0  -3  -4

and used a progressive patterns of Xs to compute the product.

So, the result is ...

  -2x^6 +7x^4 +3x^3 -3x^2 +11x +20

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(b) The factors are the same, so the product will be the same.

d

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752