Write each of the following quadratic expressions as a product of linear factors. verify that the factored form is equivalent. a)x²+12x+27b)x²-16c)x²+16d)x²+4x+5

(a) (x+3) (x+9)

(b) (x+4) (x-4)

(c) (x-4i) (x+4i)

(d) (-2+i) (-2-i)      

Step-by-step explanation:

We have given the quadratic expressions and we have to write these expressions in factor form

(a)

It can be written as

Now taking (x+9) as common

(b)

We know the algebraic equation

(c)

(d)

It can be written as

a

step-by-step explanation:

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours