Question

what is to be added to 9x²+30x+80 to make it a perfect square​

Answer 1

Answer:

-720 + 1 = -719

-360 + 2 = -358

-240 + 3 = -237

-180 + 4 = -176

-144 + 5 = -139

-120 + 6 = -114

-90 + 8 = -82

-80 + 9 = -71

-72 + 10 = -62

-60 + 12 = -48

-48 + 15 = -33

-45 + 16 = -29

-40 + 18 = -22

-36 + 20 = -16

-30 + 24 = -6

.

9x2 - 30x + 24x - 80

.

Add up the first 2 terms, pulling out like factors : 3x • (3x-10)

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

8 • (3x-10)

Add up the four terms of step 4 :

(3x+8) • (3x-10)

Which is the desired factorization

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I hope this helps you.........