Question

و انوار
Factorise 11x2-55x-13x+65​

Answer 1

The first term is, 11x2 its coefficient is 11 .

The middle term is, -42x its coefficient is -42 .

The last term, "the constant", is -65

Step-1 : Multiply the coefficient of the first term by the constant 11 • -65 = -715

Step-2 : Find two factors of -715 whose sum equals the coefficient of the middle term, which is -42 .

-715 + 1 = -714

-143 + 5 = -138

-65 + 11 = -54

-55 + 13 = -42 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -55 and 13

11x2 - 55x + 13x - 65

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

11x • (x-5)

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

13 • (x-5)

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

(11x+13) • (x-5)

Which is the desired factorization

Answer 2

HOPE IT HELPS!!!!!!!!

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