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
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in short, we simply split the total amount by the given ratio, so we'll split or divide 1020 by (15 + 2) and then distribute accordingly.
Answer:
the amount of money Ian invested is P = £2,500
Step-by-step explanation:
The standard formula for compound interest is given as;
Where;
A = final amount/value
P = initial amount/value (principal)
r = rate yearly
n = number of times compounded yearly.
t = time of investment in years
For this case, Given that;
A = £2652.25
t = 2 years
n = 1 (semiannually)
r = 3% = 0.03
substituting the given values into equation 1;
P = £2,500
the amount of money Ian invested is P = £2,500