Aperson who looks at a sequence of 14, 12, 10, 8 and decides that the next two terms are 6 and 4 is doing deductive thinking.
a. true
b. false

option A. true

Step-by-step explanation:

The given numbers of the sequence are 14, 12, 10, 8 and a person has to decide next two numbers of this sequence.

The given sequence is an arithmetic sequence because there is a common difference of ( -2 ) in each successive term.

12 - 14 = ( -2 )

10 - 12 = ( -2 )

So next two terms of the sequence will show the same differences and the terms will be

x - 8 = ( -2 )

x = 8 - 2 = 6

Similarly next term will be y - 6 = ( -2 )

y = +6 - 2 = 4

So option A true is the answer.

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

-4

step-by-step explanation: