6x^2-11x+4=
forgot how to reduce polynomials
(2x-1)(3x-4)
I remembered
Good for you!
To reduce a polynomial, we need to find its factors and simplify the expression as much as possible.
Let's solve the given quadratic polynomial, 6x^2 - 11x + 4.
Step 1: Factorization
We can factorize the quadratic polynomial by splitting the middle term. We need to find two numbers that multiply to give us the product of the coefficient of x^2 term (6) and the constant term (4) and add up to the coefficient of the x term (-11).
In this case, we need to find two numbers that multiply to give us 24 (6*4) and add up to -11. These numbers are -3 and -8 (-3 * -8 = 24, -3 + -8 = -11).
Hence, we can rewrite the polynomial as the sum of these two factors:
6x^2 - 3x - 8x + 4
Step 2: Grouping and Factoring
Now, we can group the polynomial into two pairs and factor out the greatest common factor from each pair:
(6x^2 - 3x) - (8x - 4)
3x(2x - 1) - 4(2x - 1)
Step 3: Simplifying
Notice that the binomial factor (2x - 1) is common to both terms. We can factor it out:
(2x - 1)(3x - 4)
So, the reduced form of the polynomial 6x^2 - 11x + 4 is (2x - 1)(3x - 4).
Please let me know if anything is unclear or if you need further assistance!