Find the values of b and c given that for all values of x

b=4 c=3

Step-by-step explanation:

Equation:

(x-2)(x^2+bx+c) = x^3+2x^2=5x-6

Distribute left side:

(x-2)(x^2+bx+c)= x^3+bx^2+cx -2x^2 -2bx -2c

Group:

x^3+ (b-2)x^2 + (c-2b)x -2c

Solve the equation:

b-2=2

c-2b=-5

-2c=-6

b=4

c=3

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

answer: finding the extract measurements and knowing the points

step-by-step explanation: