1. Which of the following in the process of finding the factors of the mathematical expression 2d2-8d?
A. Common Monomial Factor
B. Difference of Two Cubes
C. Difference of Two Squares
D. Perfect Square Trinomials

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We cannot say it's different Difference ot of Two Cubes because 2d2 is not not cube it's square. and 8d is not a cube.

We cannot say Difference of Two Squares because only first term 2d2 has a square.

It is not a Perfect Square Trinomials​ because Perfect Square Trinomials​ appears as ax2 + bx + c, but the given ter doesn't follow this.

A. Common Monomial Factor can be regarded as a variable, or more than one variable that that is present in the polynomial terms.

Example is 4x2 + 16x,

If factorize we have 4x(x + 4) with monomer of 4x and polynomial of x + 4). that cannot be factorized into lower polynomial.

Hence 2d2-8d can be factor as 2d(d-4) where 2d is the monomer and (d-4) cannot be factorize into lower degree polynomial.

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

step-by-step explanation: