Mario was doing his factoring homework and entered the following information to check the factorization of the equation he was solving. Based on the results in the table, determine if each statement is true or false. NORMAL FLOAT AUTO REAL RADIAN MP PRESS + FOR ATB1 Y1 NORMAL FLOAT AUTO REAL RADIAN MP Y2 Y 3 Ploti Plot2 Plot3 INY:EX +8x+16x INY2EX(x²+8X+16) 25 72 147 256 405 600 847 1152 1521 1960 25 72 147 256 25 72 147 256 405 600 847 1152 1521 1960 -..... .. INY3 EX(X+4) NY4= INYS = NY6 = INY7= 405 600 847 1152 1521 1960 8 10 X=0 There are 2 unique solutions to the equation Mario is solving. v Mario factored a GCF and a trinomial to solve his homework problem. v Y1, Y2, and Y3 are equivalent expressions. x and (x +4) are factors of z + 8x? + 16x

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Answer TRUE or FALSE to each question
Mario was doing his factoring homework and entered the following information to check the factorization of the equation he was solving. Based on the results in the table, determine if each statement is true or false.

**Calculator Screen:**

Left Side:
- \( Y_1 = x^3 + 8x^2 + 16x \)
- \( Y_2 = x(x^2 + 8x + 16) \)
- \( Y_3 = x(x+4)^2 \)
- \( Y_4, Y_5, Y_6, Y_7 \) are not used.

Right Side (Table):
- Columns: X, Y1, Y2, Y3
- X values range from 0 to 10.
- Y1, Y2, and Y3 display the same values for each X:
  - X = 0: Y1 = 0, Y2 = 0, Y3 = 0
  - X = 1: Y1 = 25, Y2 = 25, Y3 = 25
  - X = 2: Y1 = 72, Y2 = 72, Y3 = 72
  - X = 3: Y1 = 147, Y2 = 147, Y3 = 147
  - X = 4: Y1 = 256, Y2 = 256, Y3 = 256
  - X = 5: Y1 = 405, Y2 = 405, Y3 = 405
  - X = 6: Y1 = 600, Y2 = 600, Y3 = 600
  - X = 7: Y1 = 847, Y2 = 847, Y3 = 847
  - X = 8: Y1 = 1152, Y2 = 1152, Y3 = 1152
  - X = 9: Y1 = 1521, Y2 = 1521, Y3 = 1521
  - X = 10: Y1 = 1960, Y2 = 1960, Y3 = 1960

**Statements to Determine True or False:**

1. There are 2 unique solutions to the equation Mario is solving.
2. Mario factored a GCF and a trinomial to solve his homework problem.
Transcribed Image Text:Mario was doing his factoring homework and entered the following information to check the factorization of the equation he was solving. Based on the results in the table, determine if each statement is true or false. **Calculator Screen:** Left Side: - \( Y_1 = x^3 + 8x^2 + 16x \) - \( Y_2 = x(x^2 + 8x + 16) \) - \( Y_3 = x(x+4)^2 \) - \( Y_4, Y_5, Y_6, Y_7 \) are not used. Right Side (Table): - Columns: X, Y1, Y2, Y3 - X values range from 0 to 10. - Y1, Y2, and Y3 display the same values for each X: - X = 0: Y1 = 0, Y2 = 0, Y3 = 0 - X = 1: Y1 = 25, Y2 = 25, Y3 = 25 - X = 2: Y1 = 72, Y2 = 72, Y3 = 72 - X = 3: Y1 = 147, Y2 = 147, Y3 = 147 - X = 4: Y1 = 256, Y2 = 256, Y3 = 256 - X = 5: Y1 = 405, Y2 = 405, Y3 = 405 - X = 6: Y1 = 600, Y2 = 600, Y3 = 600 - X = 7: Y1 = 847, Y2 = 847, Y3 = 847 - X = 8: Y1 = 1152, Y2 = 1152, Y3 = 1152 - X = 9: Y1 = 1521, Y2 = 1521, Y3 = 1521 - X = 10: Y1 = 1960, Y2 = 1960, Y3 = 1960 **Statements to Determine True or False:** 1. There are 2 unique solutions to the equation Mario is solving. 2. Mario factored a GCF and a trinomial to solve his homework problem.
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