Question

3p²+8p+5=0 solve by factorisation method.​

Answer 1

Answer:

Factoring 3p2-8p+5

The first term is, 3p2 its coefficient is 3 .

The middle term is, -8p its coefficient is -8 .

The last term, "the constant", is +5

Step-1 : Multiply the coefficient of the first term by the constant 3 • 5 = 15

Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is -8 .

-15 + -1 = -16

-5 + -3 = -8 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and -3

3p2 - 5p - 3p - 5

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

p • (3p-5)

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

1 • (3p-5)

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

(p-1) • (3p-5)

Which is the desired factorization

Step-by-step explanation:

hope it help u

Answer 2

Step-by-step explanation:

We Have :-

3p² + 8p + 5 = 0

To Find :-

Factors

Method Used :-

Factorisation method

Solution :-

3p² + 8p + 5 = 0

3p² + 3p + 5p + 5 = 0 ( 8p can be written as 8p = 3p + 5p )

3p ( p + 1 ) + 5 ( p + 1 ) = 0

( p + 1 ) ( 3p + 5 ) = 0

Either ( p + 1 ) = 0 or ( 3p + 5 ) = 0

Putting ( p + 1 ) = 0

p + 1 = 0

p = -1

Putting ( 3p + 5 ) = 0

3p + 5 = 0

3p = -5

p = -5/3

So the Factors are -1 , -5/3