Question

factorise 3y^2 + 10y + 8​

Answer 1

Understandjng Concept:-

Splitting of middle terms :-

• In order to factorize  x² + bx + c we have to find numbers p and q such that p + q = b and pq = c.

• After finding p and q, we split the middle term in the quadratic as px + qx and get desired factors by grouping the terms.

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❥ Solution :-

$\tt \:  ⟼factorise \: {3y}^{2} + 10y + 8$

$\tt \:  = {3y}^{2} + 6y + 4y + 24$

$\tt \:  = 3y(y + 2) + 4(y + 2)$

$\tt \:  = (y + 2)(3y + 4)$

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