X2 + 11x + 24
Factor the expression

(x + 8)(x + 3)

Step-by-step explanation:

Given

x² + 11x + 24

Consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term (+ 11)

The factors are + 8 and + 3 , since

8 × 3 = + 24 and 8 + 3 = + 11 , then

x² + 11x + 24 = (x + 8)(x + 3) ← in factored form

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.