Using factorisation method:[ 3 m^ 2 +9m+6=0; ⇒3 m^ 2 +3m+6m+6=0; ⇒3m(m+1)+6(m+1)=0; ⇒(m+1)(3m+6)=0; ⇒m+1=0 ...

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LCM of Polynomials

Solve: 3m2 ...

Question

Solve: $3 m^{2} + 9 m + 6$

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Solution

Using factorisation method:

$\begin{matrix} 3 m^{2} + 9 m + 6 = 0 \Rightarrow 3 m^{2} + 3 m + 6 m + 6 = 0 \Rightarrow 3 m (m + 1) + 6 (m + 1) = 0 \Rightarrow (m + 1) (3 m + 6) = 0 \Rightarrow m + 1 = 0 o r 3 m + 6 = 0 \Rightarrow m = - 1 o r m = \frac{- 6}{3} = - 2 \Rightarrow m = - 1 o r - 2 \end{matrix}$

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3 m^{2} + 9 m + 6

3 m^{2} + 9 m + 6

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Which of the following is/are the irreducible factor(s) of $3 m^{2} + 9 m + 6 ?$

On factorising $3 m^{2} + 9 m + 6$ , we get the factor(s) as:

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