Answer: Carlos is correct
Step-by-step explanation:
2x^5-250x^2
The first step is to factorize out 2x^2
2x^2(x^3-125)
This can be rewritten as
2x^2(x^3-5^3),
Recall, difference if cube (a^3-b^3)
= (a-b)(a^2 +ab + b^2)
from our equation,
a= x
b = 5.
So the difference of cubes will be
2x^2[(x-5) (x^2 + 5x + 5^2)]
=2x^2[(x-5) (x^2 + 5x + 25)]
Carlos followed these steps. So he is correct. Carlos is correct because he correctly factored the GCF, identified a and b, and applied the difference of cubes method.
Amber is incorrect because 125 is equal to b3, not b.
Bernie is incorrect because x2 is not the GCF of the polynomial. The GCF is 2x^2.
1) <span>30x4 − 20x3 + 15x2
This is the answer to 1. Don't forget to rearrange the terms in ascending order. That can trip people up.
2) </span><span>x3 + 8x2 + 13
Don't forget to check the terms sign. The subtraction symbol switches them all. </span>
5 1/2 * 3 1/4
1 + 5 . 2/2 * 1 + 3 . 4/4 = 11/2 * 13/4 = 11 . 13/2 . 4 = 143/8 = 7 + 17 . 8/8 = 17 7/8
= 17 . 875
Detailed explanation of solution:
5 1/2 * 3 1/4
Transform the first mix number to improper fraction:
5 1/2 = 1 + 5 . 2/2 = 11/2
Transform the second mix number to improper fraction:
3 1/4 = 1 + 3. 4/4 = 13/4
Multiplying two fractions:
11/2 * 13/4 = 11 . 13/2 . 4 = 143/8
Since the numerator is greater than the denominator, We convert the improper fraction to mix fraction:
143/8 = 7 + 17.8/8
= 17 7/8 (Decimal: 17. 875)
Hope that helps!!!!!! ( Answer: 17 7/8, (Decimal: 17.875)
