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Mathematics 17 Online
OpenStudy (anonymous):

factor 3x^2+10x-8

OpenStudy (diyadiya):

You can factor by splitting the middle term or use the Quadratic formula to factor this

OpenStudy (diyadiya):

Have you tried any of the two?

OpenStudy (diyadiya):

When you split the middle term of a quadratic equation of the form\(\large ax^2+bx+c\) the first thing you have to do is to find 2 numbers whose product is \(\large a \times c ~or~~ ac\) and their sum is \(\large 'b'\) Coming back to your question: \(\large 3x^2 + 10x -8\) here \(\large a=3,~~b=10,~~c=-8\) Now you need two numbers whose product is \(\large 3 \times -8 =-24\) and sum is \(\large10\)

OpenStudy (anonymous):

wait

OpenStudy (anonymous):

(3x + 2)( x - 4) check 3x*x 3x*-4 2*x 2*-4

OpenStudy (diyadiya):

@arabella12345 Can you try to find those numbers?

OpenStudy (anonymous):

x=-4,2/3

OpenStudy (jiteshmeghwal9):

3x^2+10x-8 =>3x^2+12x-2x-8 =>3x(x+4)-2(x+4) =>(3x-2)(x+4).

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