Question

Factorise 2x^2 - 5x-12​

Answer 1

Answer:

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Step-by-step explanation:

$</p><p></p><p>2x2−5x−12</p><p></p><p>We can Split the Middle Term of this expression to factorise it.</p><p></p><p>In this technique, if we have to factorise an expression like ax2+bx+c, we need to think of 2 numbers such that:</p><p></p><p>N1⋅N2=a⋅c=2⋅−12=−24</p><p>and,</p><p>N1+N2=b=−5</p><p></p><p>After trying out a few numbers we get:</p><p>N1=−8 and N2=3</p><p>3⋅(−8)=−24, and</p><p>3+(−8)=−5</p><p></p><p>2x2−5x−12=2x2−8x+3x−12</p><p></p><p>=2x(x−4)+3(x−4)</p><p></p><p>(x−4) is a common factor to each of the terms</p><p></p><p>=(2x+3)(x−4)</p><p></p><p>$