The two factors multiplied together to make a trinomial is (x-1)(3x-2).
Given equation is 3x²-5x+2.
An algebraic equation which of the second degree in x is known as quadratic equation. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
In the given equation,
Multiply the first coefficient 3 with the last coefficient 2 so we get 2×3=6
Use any two numbers which on multiply give 6 and on adding or subtracting give -5.
Such two numbers are -2 and -3
On multiplying, (-3)×(-2)=6
On Adding, -3-2=-5
So, break -5x into -3x and -2x and we get
3x²-3x-2x+2
Taking out 3x common from the first two terms and -2 from the last two terms as
3x(x-1)-2(x-1)
Taking out the common term (x-1) as common and get
(x-1)(3x-2)
Hence, the two factors of the equation 3x²-5x+2 that can be multiplied together to make this trinomial is (x-1)(3x-2).
Learn more about factorization from here brainly.com/question/22673662
#SPJ4
