Question

$\huge\mathfrak\blue{factor \: the \: expression}$
$\frac{55}{66666} \times 6666 + 5555 \sqrt{4} \times \frac{55}{ \sqrt{x} }$
​

Answer 1

1.1 Factoring x2-55x+750

The first term is, x2 its coefficient is 1 .

The middle term is, -55x its coefficient is -55 .

The last term, "the constant", is +750

Step-1 : Multiply the coefficient of the first term by the constant 1 • 750 = 750

Step-2 : Find two factors of 750 whose sum equals the coefficient of the middle term, which is -55 .

-750 + -1 = -751

-375 + -2 = -377

-250 + -3 = -253

-150 + -5 = -155

-125 + -6 = -131

-75 + -10 = -85

-50 + -15 = -65

-30 + -25 = -55 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -30 and -25

x2 - 30x - 25x - 750

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-30)

Add up the last 2 terms, pulling out common factors :

25 • (x-30)

Step-5 : Add up the four terms of step 4 :

(x-25) • (x-30)

Which is the desired factorization

HOPE IT'S HELPS YOU ❣️

Answer 2

Answer:

1 0 {0}

2 1 {1}

3 2 {2}

4 3 {3}

5 4 {4}

6 5 {5}

7 6 {6}

8 7 {7}

9 8 {8}

10 9 {9}

11 197 {111, 9, 77}

12 198 {11, 99, 88}

13 199 {1, 99, 99}

14 285 {222, 8, 55}

15 373 {33, 7, 333}

16 461 {444, 6, 11}

17 554 {55, 55, 444}

18 1098 {11, 0, 999, 88}

19 1099 {1, 0, 99, 999}

20 1185 {11, 1111, 8, 55}

21 1186 {1, 1111, 8, 66}

22 1187 {111, 111, 888, 77}

23 1276 {1111, 22, 77, 66}

24 1278 {1111, 2, 77, 88}

25 1365 {111, 33, 666, 555}

26 1366 {1, 33, 666, 666}

27 1453 {1111, 4, 5, 333}

28 1454 {11, 444, 555, 444}

29 1458 {11, 4, 555, 888}