Write a polynomial function of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
1 answer:
9514 1404 393
Answer:
f(x) = x³ -5x² +2x +8
Step-by-step explanation:
If the function has a zero of p, then it has a factor of (x-p). The polynomial of least degree will only have factors corresponding to the given zeros:
f(x) = (x -(-1))(x -2)(x -4)
= (x +1)(x -2)(x -4)
= (x² -x -2)(x -4)
f(x) = x³ -5x² +2x +8
You might be interested in
Answer:
∠G = 37°
∠H = 143°
Step-by-step explanation:
As we know ,
Sum of supplementary angles is 180 degrees.
Hence sum of ∠G and ∠H is also 180 degrees
∠G + ∠H = 180
Substituting the given values in above equation, we get -
∠G = (x + 4)° = (33 + 4)° = 37°
∠H = (4x + 11)° = (33*4 + 11)° = 143°