Math, asked by kakoliroy2009, 10 months ago

factorise 3x^2+11x+10​

Answers

Answered by ItzMysticalBoy
27

\huge {\mathfrak {Question :}}

Factorise :  3 x^2 + 11x + 10

\huge {\mathfrak {Solution :}}

Step 1 :

  • Split middle term in two part.

Step 2 :

  • Take two numbers whose sum is 11 and multiplication is 30.

Step 3 :

  • The required number are 6 and 5.

Step 4 :

  • Factorise it in common form.

Step 5 :

  • Write first common binomial with small bracket and then remaining in binomial with small bracket.

Step 6 :

  • Required factorisation obtained.

\implies 3x^2+11x+10\\\implies 3x^2+(6+5)x+10\\ \implies 3x^2+6x+5x+10\\ \implies 3x(x+2)+5(x+2) \\ \implies (x+2) (3x+5)


Anonymous: Well done !!
StarrySoul: Well Explained! :D
BrainlyConqueror0901: Keep it up : )
Answered by TheNightHowler
11

Answer:

Hello mate✌✌✌

3 {x}^{2}  + 11x + 10 \\ 3 {x}^{2}  + 6x + 5x + 10 \\ 3x(x + 2) + 5(x + 2) \\ (3x + 5)(x + 2)

Hope it helps✌✌✌

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