Question

Factorize the following if real roots exist

$1. \: \: \: \: {3x}^{2} - 5x - 4 \\ 2. \: \: \: \: {3x}^{2} - 5x + 4$
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Answer 1

Steps of doing this question

• Check discriminant(D) is greater than 0 ,equal to 0 or lesser than 0
• Discriminant=b^2-4ac
• if discriminant (D) is greater than 0 then real root exist,if D is lesser than 0 than no real roots exist and if D is equal to 0 than equal roots exist
• In 1st part real roots exist as D is greater than 0
• Use quadratic formula as real roots exist
• Quadratic formula=-b±√D/2a
• Simplify it you will find the final answer
• In 2nd part no real roots exist hence the question will ended

Important note for all maths questions

You will have to observe maths questions properly you will find something in all questions then do question