Question

Someone please help me :(

Explain in detail the process/steps you would use to factor 6x^2-11x+4. Explain how you can prove your answer is correct. Then show your work for checking your answer.

Answer 1

(2x-1)(3x-4)

Explanation:

6x²-11x+4

Now we will split the middle term so when we add the digits it will give the original number back but when we multiply them, it will give the sum of the first and the last digit

6x²-11x+4

6x²-3x-8x+4

Now you can that if we add -3 and -8, we get -11 back but if we multiple them, we get the sum of 6 and 4 (the first and the last digits), which is 24

Now we will simplify the values

3x(2x-1) - 4(2x-1)

Simplifying further, we get

(2x-1) (3x-4) which is the answer