4. Two students attempted to solve a problem which reduces into a quadratic equation. One, in simplifying, made a mistake in the constant term and had -2 and 6 for his roots. The other made a mistake in the coefficient of the first- degree term and had -3 and 5 for his roots. What is the correct quadratic equation? A. x² - 4x 15 = 0 C. x² + 4x 15 = 0 B. x2 + 4x + 15 = 0 D. x² - 4x + 15 = 0 5. Find a value of k so that x + 3 is a factor of 3x³ + kx² - 7x + 6. A. -6 C. 6 D. -3 B. 3 6. The polynomial f(x) = ax³ - 10x²-3x + b has a factor of x + 5. When f(x) is divided by x - 2, the remainder -77. Find the values of a and b. A. a 2 and b = 15 B. a = -2 and b = 15 C. a 2 and b = -15 D. a = -2 and b = -15
4. Two students attempted to solve a problem which reduces into a quadratic equation. One, in simplifying, made a mistake in the constant term and had -2 and 6 for his roots. The other made a mistake in the coefficient of the first- degree term and had -3 and 5 for his roots. What is the correct quadratic equation? A. x² - 4x 15 = 0 C. x² + 4x 15 = 0 B. x2 + 4x + 15 = 0 D. x² - 4x + 15 = 0 5. Find a value of k so that x + 3 is a factor of 3x³ + kx² - 7x + 6. A. -6 C. 6 D. -3 B. 3 6. The polynomial f(x) = ax³ - 10x²-3x + b has a factor of x + 5. When f(x) is divided by x - 2, the remainder -77. Find the values of a and b. A. a 2 and b = 15 B. a = -2 and b = 15 C. a 2 and b = -15 D. a = -2 and b = -15
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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please help me solve number 4-6. Thank You!
Transcribed Image Text:4. Two students attempted to solve a problem which reduces into a quadratic equation. One, in simplifying, made a
mistake in the constant term and had -2 and 6 for his roots. The other made a mistake in the coefficient of the first-
degree term and had -3 and 5 for his roots. What is the correct quadratic equation?
A. x² - 4x 15 = 0
C.
x² + 4x 15 = 0
B. x2 + 4x + 15 = 0
D.
x² - 4x + 15 = 0
5. Find a value of k so that x + 3 is a factor of 3x³ + kx² - 7x + 6.
A. -6
C. 6
D. -3
B. 3
6.
The polynomial f(x) = ax³ – 10x² – 3x + b has a factor of x + 5. When f(x) is divided by x − 2, the remainder -77.
Find the values of a and b.
A. a 2 and b = 15
B. a -2 and b = 15
C. a 2 and b = -15
D. a = -2 and b = -15
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