Question

Factorise the following quadratic polynomial 3x^2+5x-2

Answer 1

Here is the answer....

Hope it helps!!!!

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It's done by completing the square method....

Answer 2

Correct question :

• Factorise the following quadratic polynomial 3x² + 5x + 2

Given :

$\sf\implies3 {x}^{2}+ 5x + 2$

To Find :

$\sf \implies value \: of \: x$

Solution :

$\sf \implies3 {x}^{2} + 5x + 2 \\ \\ \underline{\bf By \: splitting \: middle \: term : } \\ \\ \sf \implies 3{x}^{2} + 3x + 2x + 2 = 0 \\ \\ \sf \implies3x(x + 1) + 2( \times + 1) = 0 \\ \\ \sf \implies(3x + 2)(x + 1) = 0 \\ \\ \sf \implies3x + 2 = 0 \\ \\ \implies \boxed{\boxed{ \sf x = - \frac{2}{3} }} \\ \\ \sf \implies x + 1 = 0 \\ \\ \implies \boxed{\boxed{ \sf x = -1}}$