Chapter 5 Polynomials, Lists, Factoring, and Quadratic Equations 383 Chapter 5 R
ID: 3138577 • Letter: C
Question
Chapter 5 Polynomials, Lists, Factoring, and Quadratic Equations 383 Chapter 5 Review See Part I, pages 162-165. Write True" or "False" for each of the following statements 15. All polynomials are factorable. 16. When solving a quadratic equation, the terms can be in any order 17. The quadratic formula has a fraction bar that extends the ENTTRE length of the formula. 18. The distributive property of multiplication can be used to check factoring 19. A quadratic equation in standard form is written in descending powers of the variable 20. 57 and 51 are both evenly divisible by 3 21. The expression +25 + 10x x2 is written in descending powers of the variable 22. A prime number has two or more factors 23. The sum of two squares is factored in the same way that the difference of two squares is 24. List the characteristics of a perfect trinomial square. a. 25. List the factoring methods that utilize an organized list as a step in factoring a. b. 26. Identify a, b, and c in the following equation. x2-4x + 12 = 0 27. A has exactly two termsExplanation / Answer
True or False
15. All Polynomials are factorable. False, Because few polynomials are prime which are not factorable.
16.When solving a quadratic equation, the terms can be in any order. False, because the quadratic equation is the equation of second degree.
17. The quadratic formula has a fraction bar that extends the entire length of the formula. True.
18. True because it gives the distribution of numbers.
19. True
20. True, according to the divisibility rule of 3 the addition of digits of a number should be divisible by 3 and 57 and 51 both follow this condition.
21.False It should be x2+10x+25
22.False. A prime number has only two factors i.e. 1 and the number itself.
23. True.
24. List the characteristics of a perfect trinomial square
25. List the factoring methods that utilize an organized list as a step in factoring.
26. The quadratic equation is in the form of ax2+bx+c=0.
so for the given equation x2-4x+12=0 so a=1,b=-4,c=12.
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