Question

Use the given information to translate between zeros, roots, x-intercepts, and factors.

1.Given Factors: x - 5, x + 2, x. Translate this information into:
Zeros: ______________.
X-intercepts: ______________.
Roots: ______________.
2.Given Zeros: 5, 2, 3. Translate this information into:
Factors: ______________.
X-intercepts: ______________.
Roots: ______________.
3.Given Zeros: -12, -8, 0, 3. Translate this information into:
Factors: ______________.
Roots: ______________.
4.Given Roots: -1, -2.4. Translate this information into:
Zeros: ______________.
Factors: ______________.
5.Given Factors: x + 1, x - 6, x - 3, x + 4. Translate this information into:
Zeros: ______________.
Roots: ______________.
6.Given X-intercepts: (15.0), (-6,0), (7.0), (-4.0). Translate this information into:
Roots: ______________.
Factors: ______________.

Answer 1

In the first set of information, the zeros, x-intercepts, and roots are all the same numbers: 5, -2, and 0. The factors are (x-5)(x+2)(x). In the second set of information, the factors are (x-5)(x-2)(x-3), the x-intercepts are 5, 2, and 3, and the roots are also 5, 2, and 3.

Step-by-step explanation:

1. Zeros: 5, -2, 0
2. X-intercepts: 5, -2, 0
3. Roots: 5, -2, 0
4. Factors: (x-5)(x+2)(x)
5. X-intercepts: 5, 2, 3
6. Roots: 5, 2, 3
7. Factors: (x-5)(x-2)(x-3)
8. Factors: (x+12)(x+8)(x)(x-3)
9. Roots: -1, -2
10. Zeros: -1, -2
11. Zeros: -1, 6, 3, -4
12. Roots: -1, 6, 3, -4
13. Roots: 15.0, -6, 7.0, -4.0
14. Factors: (x-15.0)(x+6)(x-7.0)(x+4.0)