Respuesta :
Answer:
x+7/8
Step-by-step explanation:
A polynomial has roots at the points where the curve cuts the x axis.
This can also be said as values of x for which the polynomial is 0
Given that when x =a is root means, we have x-a is the factor.
Based on the above, we find when 3/4, -7/8, -3/8 and -1/9 are roots
factors are x-3/4, x+7/8, x+3/8, x+1/9
Hence answer is
B) (x + 3/8)
The other options do not match with the factors only option Bmatches.
Answer: The factor of the polynomial is [tex](x+\frac{3}{8})[/tex]
Step-by-step explanation:
We are given:
4 roots of the polynomial
Root 1: [tex]\frac{3}{4}[/tex]
The factor for this root becomes: [tex](x-\frac{3}{4})[/tex]
Root 2: [tex]\frac{-7}{8}[/tex]
The factor for this root becomes: [tex](x+\frac{7}{8})[/tex]
Root 3: [tex]\frac{-3}{8}[/tex]
The factor for this root becomes: [tex](x+\frac{3}{8})[/tex]
Root 4: [tex]\frac{-1}{9}[/tex]
The factor for this root becomes: [tex](x+\frac{1}{9})[/tex]
Hence, the factor of the polynomial is [tex](x+\frac{3}{8})[/tex]
