Math, asked by ahsankarim521, 9 months ago

6p+ 5p+ 4 by (2p + 1)​

Answers

Answered by rudra1981sharma
5

Answer:

Step by step solution :

Step 1 :

Equation at the end of step 1 :

((2•3p2) + 5p) - 4

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 6p2+5p-4

The first term is, 6p2 its coefficient is 6 .

The middle term is, +5p its coefficient is 5 .

The last term, "the constant", is -4

Step-1 : Multiply the coefficient of the first term by the constant 6 • -4 = -24

Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is 5 .

-24 + 1 = -23

-12 + 2 = -10

-8 + 3 = -5

-6 + 4 = -2

-4 + 6 = 2

-3 + 8 = 5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 8

6p2 - 3p + 8p - 4

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

3p • (2p-1)

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

4 • (2p-1)

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

(3p+4) • (2p-1)

Which is the desired factorization

Final result :

(2p - 1) • (3p + 4). Please mark the answer as the branliest

Answered by ajaykthakur47
3

Step-by-step explanation:

6p+5p+4×3p

11p+12p

23p

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