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Maths-

General

Easy

Question

Identify the value of c that makes the trinomial factorable using the perfect square pattern.
$3 x squared plus 24 x plus c$

hint Hint:

using condition $b squared minus 4 a c equals 0$ in the trinomial to find c which makes the trinomial the perfect square Ans :- c = 48

The correct answer is: c = 48

Given , $3 x squared minus 24 x plus c text comparing it with end text a x squared plus b x plus c$
Here $a equals 3 semicolon b equals negative 24$
$b squared minus 4 a c equals 0$ if the trinomial is a perfect square.
$b squared equals 4 a c not stretchy rightwards double arrow left parenthesis negative 24 right parenthesis squared equals 4 left parenthesis 3 right parenthesis left parenthesis c right parenthesis not stretchy rightwards double arrow 576 equals 12 c$
$c equals 48$
∴ c = 48

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