Question

Verify the relations between zeroes and the coefficients of the quadratic polynomial P(x) = 5x² – 11x – 12. ​

Answer 1

Answer:

The first term is,  5x2  its coefficient is  5 .

The middle term is,  -11x  its coefficient is  -11 .

The last term, "the constant", is  -12 

Step-1 : Multiply the coefficient of the first term by the constant   5 • -12 = -60 

Step-2 : Find two factors of  -60  whose sum equals the coefficient of the middle term, which is   -11 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -15  and  4 

                     5x2 - 15x + 4x - 12

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

                    5x • (x-3)

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

                    4 • (x-3)

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

                    (5x+4)  •  (x-3)

             Which is the desired factorization

Answer 2

Step-by-step explanation:

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