Factorise 6^3+11x^2-12x-5
PLEASE ANSWER URGENT

(x - 1)(3x + 1)(2x + 5)

Step-by-step explanation:

Given

6x³ + 11x² - 12x - 5

The sum of the coefficients = 6 + 11 - 12 - 5 = 0

Hence x = 1 is a root and (x - 1) a factor

Dividing 6x³ + 11x² - 12x - 5 by (x - 1) using Synthetic division

1 | 6   11   - 12   - 5

     ↓    6    17      5

     6   17    5       0 ← remainder

Quotient = 6x² + 17x + 5

Thus

6x³ + 11x² - 12x - 5 =(x - 1)(6x² + 17x + 5) = (x - 1)(3x + 1)(2x + 5)

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.

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.