Question

by factarisation solve x^2-30x-675​

Answer 1

Answer:

Factoring x2-30x-675

The first term is, x2 its coefficient is 1 .

The middle term is, -30x its coefficient is -30 .

The last term, "the constant", is -675

Step-1 : Multiply the coefficient of the first term by the constant 1 • -675 = -675

Step-2 : Find two factors of -675 whose sum equals the coefficient of the middle term, which is -30 .

-675 + 1 = -674

-225 + 3 = -222

-135 + 5 = -130

-75 + 9 = -66

-45 + 15 = -30 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -45 and 15

x2 - 45x + 15x - 675

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

x • (x-45)

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

15 • (x-45)

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

(x+15) • (x-45)

Which is the desired factorization

Step-by-step explanation:

I hope it's help ful for you

Answer 2

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