For a certain quadratic equation, ax2 + bx + c = 0, the 2 solutions are x = ¾ and x =-⅖ . Which of the following could be factors of ax2 + bx + c?
Correct answer: B. (4x-3) AND (5x+2)
- A. (4x2) AND (5x+3)
- B. (4x-3) AND (5x+2)
- C. (4x+2) AND (5x-3)
- D. (4x+3) AND (5x-2)
- E. (4x+3) AND (5x+2)
Explanation
For a certain quadratic equation ax2 + bx + c = 0, if x = a/b is a solution, then a possible factor would be (bx − a). Since two solutions for ax2 + bx + c = 0 are x = 3/4 and x = -2/5, then possible factors are (4x − 3) and (5x + 2).
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? support@testustad.com
About Quantitative Reasoning
Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
Practise Quantitative Reasoning
625 free Quantitative Reasoning MCQs from Analytical and Logical Reasoning, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Analytical and Logical Reasoning questions like this
Analytical and Logical Reasoning is on 27 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Quantitative Reasoning questions
What is the slope-intercept form of 6x - 2y - 4 = 0?
Given the graph below in the standard (x,y) coordinate plane, the slope of line a is ma and the slope of line b is mb. Which of the following statements about the slope of lines a and b is true?
43, 83, 54, 35, 77, x, y If the median of the set of numbers is 54 and the mean is 56, which of the following could be the values of x and y?
|2x+1|=5 If a and b are the solutions to the equation above, wat is the value of |a-b|?
During a portion of a flight, a small airplane's cruising speed varied between 150 miles per hour and 170 miles per hour. Which inequality best represents this situation, where s is the cruising speed, in miles per hour, during this portion of the flight?
The scatterplot shows the densities of 7 planetoids, in grams per cubic centimeter, with respect to their average distances from the Sun in astronomical units (AU). The line of best fit is also shown.According to the scatterplot, which of the following statements is true about the relationship between a planetoid's average distance from the Sun and its density?