Answer these questions about the steps of simplifying this rational expression: 4x-8/x^2+3x-10 Part A What is the greatest common factor (GCF) of the terms in the numerator and in the denominator? Rewrite the expression by factoring out the GCF.

GCF: (x - 2)

4 / (x + 5)

Step-by-step explanation:

The expression given is:

(4x - 8) / (x² + 3x - 10)

To find the greatest common factor, we have to factorise the numerator and denominator individually.

NUMERATOR:

4x - 8 = 4(x - 2)

DENOMINATOR:

x² + 3x - 10 = x² + 5x - 2x - 10

x² + 3x - 10 = x(x + 5) - 2(x + 5)

x² + 3x - 10 = (x - 2) ( x + 5)

So, the expression becomes:

4(x - 2) / [(x - 2) ( x + 5)]

We observe that the common factor in both numerator ad denominator is (x - 2).

This is the greatest common factor (GCF).

Factoring out (x - 2), the expression can be rewritten as:

4 / (x + 5)

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

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