A. The area of a square is given as:
<span>A = s^2 </span>
Where s is a measure of a side of a square. s = (2 x – 5)
therefore,
<span>A =
(2 x – 5)^2 </span>
Expanding,
A =
4 x^2 – 20 x + 25
<span>B.
The degree of a polynomial is the highest exponent of the variable x, in this case
2. Therefore the expression obtained in part A is of 2nd degree.</span>
Furthermore,
polynomials are classified according to the number of terms in the expression.
There are 3 terms in the expression therefore it is classified as a trinomial.
<span>C.
The closure property demonstrates that during multiplication or division, the
coefficients and power of the variables are affected while during
multiplication or division, only the coefficients are affected while the power
remain the same.</span>
Here is how to work it with long division.
X is equal to 23
15/3 = 5
36/3 = 12
39/3 = 13 then add the 10 and you get 23
The prime factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 or 2^6 * 3^2
The prime factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2 or 2 ^ 6