Junior says the product of 25* 10 is 250. how can you use patterns to check junior’s answer?

Solution

25 * 10 = 250

It is a multiplication. The multiplication is nothing the repeated addition.

Therefore, we add 10 +10 + 10 + 10 +10 +10 + 10 +10 +10 + 10 +10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 +10 + 10 + 10 = 250

In other words,

1*10 = 10

2*10 = 20

3*10 = 30

. . .

25*10 = 250.

Here n is the variable, n = 1 to 25.

Therefore, patttern is n *10 when n = 1 to 25.

Thank you :)

Given problem,

25 × 10 = ?

Since, 1 × 10 = 10

2 × 10 = 20,

3 × 10 = 30,

4 × 10 = 40

so on,...

When we observe this sequence,

We found that, when we multiply a number by 10 we obtain the resultant number by putting 0 in the ones place of the given number.

That is,

25 × 10 = 250

Therefore, junior is correct.

(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