3x^2+bx+24&=(3x+8)(x+a)

If the equation above is true for all values of x, what is the value of b ?


 


    

Comments (1)

I did this even easier and it may not have been ironclad but it worked– I just wasked myself what value of a will give me the expression on the leftside of the equation. I figure 3 x 8 would give me 24. Then I just multiplied it out and when I saw the 17 show up next to the x cooresponding with be I knew this could be the answer.

(3x+8)( x+3) = 3x^2 +17x +24, so I figure that 17 was the answer with a as three it satisfies the equation only if 17 is the coefficient in front of x. This took me about 2 minutes to solve. It is not solving the problem that counts its how long you can do it in. Any problem that takes longer than 2 minutes means I dont have the concept mastered or I have errored and must learn to move on.

Leave a Reply