Question types

Polynomials question types

113 questions across 4 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

113
Questions
4
Question groups
5
Question types
Sample Questions

Polynomials questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Which of the following is a true statement?
  • A
    $x^2 + 5x - 3$ is a linear polynomial.
  • B
    $x^2+ 4x - 1$ is a binomial.
  • C
    $x + 1$ is a monomial.
  • $5x^3$ is a monomial.

Answer: D.

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If $\alpha$ and $\beta$ are the zero of $ 2x^2 + 5x − 8$, then the value of $(\alpha\beta)$ is:
  • A
    $\frac{-5}{2}$
  • B
    $\frac{5}{2}$
  • $\frac{-9}{2}$
  • D
    $\frac{9}{2}$

Answer: C.

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The zeros of the polynomial $\text{x}^2+\frac{1}{6}\text{x}-2$ are:
  • A
    $-3,\ 4$
  • $\frac{-3}{2},\ \frac{4}{3}$
  • C
    $\frac{-4}{3},\ \frac{3}{2}$
  • D
    None of these.

Answer: B.

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If $\alpha,\ \beta$ are the zeros of $kx^2 - 2x + 3k$ such that $\alpha+\beta=\alpha\beta,$ then $k = ?$
  • A
    $\frac{1}{3}$
  • B
    $\frac{-1}{3}$
  • $\frac{2}{3}$
  • D
    $\frac{-2}{3}$

Answer: C.

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Very-Short-Answer Question:
If $\alpha$ and $\beta$ are the zeroes of a polynomial $2x^2 + 7x + 5$, write the value of $\alpha+\beta+\alpha\beta.$
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Q 113 Marks Question3 Marks
Find the zeros of the following quadratic polynomial and verify the relationship between the zeros and the coefficients:
$2\sqrt3\text{x}^2-\text{5x}+\sqrt3$
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