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Answer:
9
Step-by-step explanation:
according to the condition it is possible to make up a system of two equations (if to suppose 'l' - the larger number and the 's' - is the smaller one):
1. 'two numbers have a sum of 7' means s+l=7;
2. 'When the smaller number is subtracted from twice the larger number, the result is 20' means 2*l-s=20.
3. the system of two equations is:
4. the larger number is 9.
Answer:
<em>P(3) = 0</em>
Step-by-step explanation:
<u>Factor Theorem is a consequence of Remainder Theorem. </u>
Remainder Theorem states that if polynomial f(x) is divided by a binomial (x - a) then the remainder is f(a).
Factor Theorem states that if f(a) = 0, then the binomial (x - a) is a factor of f(x).
We have the polynomial
To prove that x-3 is a factor of P, we calculate P(3):
Thus, x-3 is a factor of P(x)