1. (x² + 24) factors as the difference of two squares (x² - (-24)) where -24 is the square of the complex number i√24 = 2i√6. The factoring is
(x - 2i√6)(x + 2i√6)
2. The square of half the coefficient of the x-term needs to be added: 4.5² = 20.25
This number goes in both boxes.
3. This is the square of (y² +20), so the factorization is similar to that for problem 1.
y⁴ + 40y² + 400 = (y² + 20)² = (y -2i√5)²(y +2i√5)²
Graph 1 is y = 4.
You can tell this because no matter what point you pick on that line, the ordered pair will contain the number 4 for y. You can also tell because y = a number graphs are always horizontal lines.
Answer:
Yes, they're.
Step-by-step explanation:
30 = 1 * 2 * 3 * 5
1 is in the 'Ten Thousand's' place.
