Question

solve the given quadratic using Formula method and Factorisation method x^2-12x+27=0​

Answer 1

The first term is, x2 its coefficient is 1 .

The middle term is, -12x its coefficient is -12 .

The last term, "the constant", is +27

Step-1 : Multiply the coefficient of the first term by the constant 1 • 27 = 27

Step-2 : Find two factors of 27 whose sum equals the coefficient of the middle term, which is -12 .

-27 + -1 = -28

-9 + -3 = -12 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and -3

x2 - 9x - 3x - 27

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

x • (x-9)

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

3 • (x-9)

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

(x-3) • (x-9)

Which is the desired factorization