Free NCERT Solutions, Notes & MCQs for Class 9–12

Polynomials - True and False

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Q 01 / 25

All algebraic expressions are polynomials.

✔ True ✘ False

Q 02 / 25

\(x^3 + 2x^2 - x + 7\) is a cubic polynomial.

✔ True ✘ False

Q 03 / 25

A monomial is a polynomial with exactly one term.

✔ True ✘ False

Q 04 / 25

The degree of the polynomial \(5x^4 + 2x^2 + x + 1\) is 2.

✔ True ✘ False

Q 05 / 25

The coefficient of \(x\) in \(7x - 5x^2 + 4\) is 7.

✔ True ✘ False

Q 06 / 25

\(x^2 - 4x + 2\) has degree 2.

✔ True ✘ False

Q 07 / 25

The polynomial 3 is a zero polynomial.

✔ True ✘ False

Q 08 / 25

\(2xy + 3x\) is a polynomial in one variable.

✔ True ✘ False

Q 09 / 25

Every polynomial of degree 1 is called a linear polynomial.

✔ True ✘ False

Q 10 / 25

The zero of the polynomial \(x + 5\) is -5.

✔ True ✘ False

Q 11 / 25

The number of zeroes of a quadratic polynomial is always two.

✔ True ✘ False

Q 12 / 25

The standard form of a polynomial arranges terms in decreasing powers of the variable.

✔ True ✘ False

Q 13 / 25

The remainder theorem applies only to linear divisors.

✔ True ✘ False

Q 14 / 25

A binomial has two unlike terms.

✔ True ✘ False

Q 15 / 25

If \((x - a)\) is a factor of polynomial \(f(x)\), then f(a) = 0.

✔ True ✘ False

Q 16 / 25

The polynomial \(x^4 + x^2 + 1\) is a quadratic polynomial.

✔ True ✘ False

Q 17 / 25

The value of a polynomial at a point is found by substituting the variable by that value.

✔ True ✘ False

Q 18 / 25

The product of two linear polynomials is always quadratic.

✔ True ✘ False

Q 19 / 25

Algebraic identity \((a + b)^2 = a^2 + 2ab + b^2\) is a polynomial equality.

✔ True ✘ False

Q 20 / 25

Zero polynomial has no degree.

✔ True ✘ False

Q 21 / 25

A trinomial must have degree 3.

✔ True ✘ False

Q 22 / 25

Every constant polynomial is of degree zero.

✔ True ✘ False

Q 23 / 25

If \(p(x) = x^2 + 1\), then \(p(0) = 1\).

✔ True ✘ False

Q 24 / 25

The sum of two polynomials is always a polynomial.

✔ True ✘ False

Q 25 / 25

A term like \(\frac{2}{x}\) is allowed in a polynomial.

✔ True ✘ False

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Polynomials - True and False

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