Question

15x²-77x+0 reslove the following into factors​

Answer 1

Answer:

(15x-2) • (x-5)

Step-by-step explanation:

The first term is, 15x2 its coefficient is 15 .

The middle term is, -77x its coefficient is -77 .

The last term, "the constant", is +10

Step-1 : Multiply the coefficient of the first term by the constant 15 • 10 = 150

Step-2 : Find two factors of 150 whose sum equals the coefficient of the middle term, which is -77 .

-150 + -1 = -151

-75 + -2 = -77 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -75 and -2

15x2 - 75x - 2x - 10

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

15x • (x-5)

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

2 • (x-5)

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

(15x-2) • (x-5)

Which is the desired factorization