Find a polynomial with a degree of 3 and the zeros 1, 7 & -4 with no other zeros

x³ - 4x² - 25x + 28

Step-by-step explanation:

Step 1: Write out binomial linear factors

(x - 1)(x - 7)(x + 4)

Step 2: Expand

(x²  - 8x + 7)(x + 4)

Step 3: Expand

x³ - 4x² - 25x + 28

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

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.