Question

solve by factorisation
11p + 4= 3p^2​

Answer 1

Answer:

p= -1/3 and 4

Step-by-step explanation:

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Answer 2

Answer:

Step-1 : Multiply the coefficient of the first term by the constant   3 • -4 = -12 

Step-2 : Find two factors of  -12  whose sum equals the coefficient of the middle term, which is   -11 .

      -12    +    1    =    -11    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -12  and  1 

                     3p2 - 12p + 1p - 4

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

                    3p • (p-4)

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

                     1 • (p-4)

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

                    (3p+1)  •  (p-4)

             Which is the desired factorization

(p - 4) • (3p + 1) = 0

Solve  :    p-4 = 0 

 Add  4  to both sides of the : 

                      p = 4

Solve  :    3p+1 = 0 

 Subtract  1  from both sides of the equation : 

                      3p = -1

Divide both sides of the equation by 3:

                     p = -1/3 = -0.333