Question

*3. Which polynomial has zeros whenX= 5,2/3 ,7f (x) = (x + 5) (2x + 3) (x – 7)O f(x) = (x + 5) (3x + 2) (x – 7)O f (x) = (x – 5) (2x - 3) (x + 7)O f(x) = (x – 5) (3x – 2) (x + 7)

Answer 1

Let's evaluate every function for the given values:

f(x)= (x+5)(2x+3)(x-7)

x=5

f(5)=(5+5)(2*5+3)(5-2)=(10)(13)(2) ≠ 0

Therefore, this option doesn't work

f(x)=(x+5)(3x+2)(x-7)

x=5

f(5)=(5+5)(3*5+2)(5-2)=(10)(17)(3) ≠ 0

Therefore, this option doesn't work

f (x) = (x – 5) (2x - 3) (x + 7)

x=5

f(5) = (5-5)(2*5-3)(5+7)=(0)(7)(12)=0

x=2/3

f(2/3) = (2/3-5)(2*2/3 - 3)(2/3+7)=(-13/3)(-5/3)(23/3)≠0

Therefore, this option doesn't work

f(x) = (x – 5) (3x – 2) (x + 7)

x=5

f(5) = (5-5)(3*5-3)(5+7)=(0)(7)(12)=0

x=2/3

f(2/3) = (2/3-5)(3*2/3 - 3)(2/3+7)=(-13/3)(0)(23/3)=0