Question

Find a polynomial with a degree of 3, and the zeros 1,7, & -4 with no other zeros.

Answer 1

Answer:

$f(x)=(x+4)(x-7)(x-1)$

Step-by-step explanation:

zeroes are when you plug in that x value and get y=0

therefore if you set x = that number and solve for 0 you get a "function"

multiplying these together will yield the complete 3rd degree polynomial

x = 1

x-1=0

x=7

x-7=0

x=-4

x+4=0

$f(x)=(x+4)(x-7)(x-1)$

If needed you could expand but I'm too lazy