I can only give possible combinations of the ages. This is because only the product is given. Had the sum of all ages been given, possible combinations would boil down into 1 combination.
3 kids with a youngest. This means that the ages are not the same.
We do prime factorization to get the age combination.
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
1 x 2 x 2 x 2 x 3 x 3 = 72
Possible combination with no repeating number.
1 x 8 x 9 = 72
2 x 4 x 9 = 72
4 x 6 x 3 = 72
1 x 6 x 12 = 72
Answer:
4 3=64
Step-by-step explanation:
The zeros of a function f(x) are the values of x that cause f(x) to be equal to zero
There are many theorems to find the zeros of the polynomial functions and one of them is
The Factor TheoremThe Factor Theorem can be used
to analyze polynomial equations. By it we can know that there is a relation between factors and zeros.
<span>let: f(x)=(x−a)q(x)+r.
</span>
If a is one of the zeros of the function , then the remainder r =f(a) =0
and <span>f(x)=(x−a)q(x)+0</span> or <span>f(x)=(x−a)q(x)</span>
Notice, written in this form, x – a is a factor of f(x)
the conclusion is: if a is one of the zeros of the function of f(x),
then x−a is a factor of f(x)
And vice versa , if (x−a) is a factor of f(x), then the remainder of the Division Algorithm <span>f(x)=(x−a)q(x)+r</span> is 0. This tells us that a is a zero.
So, we can use the Factor Theorem to completely factor a polynomial of degree n
into the product of n factors. Once the polynomial has been completely
factored, we can easily determine the zeros of the polynomial.
Step-by-step explanation:
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Hope it helped youuh