Answer:
Your answer will be y=x2−12x+32
Step-by-step explanation:
Step 1 : x = 4 and x = 8 are the two real distinct solutions for the quadratic equation, which means that x − 4 and x − 8 are the factors of the quadratic equation. ( x − 4 ) ( x − 8 ) = 0
Step 2: Expand ( x − 4 ) ( x − 8 ) using the FOIL Method. x ⋅ x + x ⋅ − 8 − 4 x − 4 ⋅ − 8 = 0
Which would give you x2 − 12 x + 32 = 0
Step 3: The standard quadratic equation using the given set of solutions
{ 4 , 8 } is y = x 2 − 12 x + 32 .
This is you answer should be
y = x 2 − 12 x + 32
