Division algorithm for polynomials MCQs
Practice Division algorithm for polynomials multiple-choice questions from Polynomials (Class 10 Maths) - tap an answer for instant feedback and a step-by-step solution. Practice the full set free on the RankByte app.
Division algorithm for polynomialsQuiz - Solve & Score
Q1. For what value of k is (x - 2) a factor of p(x) = x^3 + (-3)x^2 + k x + (-6)?
- A.-5
- B.-10
- C.10
- D.5
Answer: D. 5
Q2. For what value of k is (x - 1) a factor of p(x) = x^3 + (5)x^2 + k x + (-7)?
- A.1
- B.2
- C.0
- D.-1
Answer: A. 1
Q3. For what value of k is (x - 3) a factor of p(x) = x^3 + (-4)x^2 + k x + (-3)?
- A.4
- B.12
- C.-4
- D.-12
Answer: A. 4
Given 3, 3, -4, 2, -3, asked for the unknown. By apply the quadratic formula x = (-b +/- sqrt(b^2 - 4ac))/(2a) to the given equation. apply the quadratic formula x = (-b +/- sqrt(b^2 - 4ac))/(2a) to the given equation → so the required value = 4. substitute the coefficients and simplify. Thus option A) 4. Others fail: option B) '12' is wrong because Wrong: uses an incorrect intermediate value; option C) '-4' misses the point - Wrong: a common multi-step slip gives this.
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