Build a quadratic from its roots; sum and product of roots
11th grade (Year 12 in England) · 16 questions · Common Core: HSA.APR.B.3, HSA.SSE.A.1.B · England: A-level Pure Mathematics
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Date
Score/ 16
Question 1
Write a quadratic x² + bx + c with roots 6 and 1. Type it.
Answer
Question 2
Without solving, find the sum of the roots of 3x² − 3x + 10 = 0. Give a fraction if needed.
Answer(as a fraction)
Question 3
Write a quadratic x² + bx + c with roots −1 and −4. Type it.
Answer
Question 4
Without solving, find the product of the roots of 4x² + 5x − 9 = 0. Give a fraction if needed.
Answer(as a fraction)
Question 5
Write a quadratic x² + bx + c with roots 7 and 1. Type it.
Answer
Question 6
Without solving, find the product of the roots of 2x² − 2x + 5 = 0. Give a fraction if needed.
Answer(as a fraction)
Question 7
Write a quadratic x² + bx + c with roots 6 and −2. Type it.
Answer
Question 8
Without solving, find the product of the roots of 5x² − 6x − 1 = 0. Give a fraction if needed.
Answer(as a fraction)
Question 9
Write a quadratic x² + bx + c with roots −5 and 0. Type it.
Answer
Question 10
Without solving, find the sum of the roots of 6x² − 3x + 9 = 0. Give a fraction if needed.
Answer(as a fraction)
Question 11
Write a quadratic x² + bx + c with roots −4 and −5. Type it.
Answer
Question 12
Without solving, find the sum of the roots of 2x² − 12x + 9 = 0. Give a fraction if needed.
Answer(as a fraction)
Question 13
Write a quadratic x² + bx + c with roots −5 and 8. Type it.
Answer
Question 14
Without solving, find the sum of the roots of 6x² + 3x − 4 = 0. Give a fraction if needed.
Answer(as a fraction)
Question 15
Write a quadratic x² + bx + c with roots −2 and −7. Type it.
Answer
Question 16
Without solving, find the sum of the roots of 3x² + x + 7 = 0. Give a fraction if needed.
Answer(as a fraction)
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