MATH SOLVE

3 months ago

Q:
# Select the correct answer from the drop-down menu. Find the polynomial.-1/3, 4 is the solution set of. 1. 3x^2-11x+4=02. 3x^2-11x-4=03.1/3x^2-11x-4=04.-1/3x^2-11x-4=0

Accepted Solution

A:

Answer:2. [tex]3x^2-11x-4=0[/tex]Step-by-step explanation:Since [tex]x=-\frac{1}{3}[/tex] and [tex]x=4[/tex] is a solution; then we can work backwards to find the required polynomial.Thus;[tex]3x+1=0[/tex] and [tex]x-4=0[/tex]We multiply the left hand side and right hand side separately to obtain;[tex](3x+1)(x-4)=0\times0[/tex]We expand using the distributive property to obtain;[tex]3x^2-12x+x-4=0[/tex]Simplify;[tex]3x^2-11x-4=0[/tex]The second choice is correct.