Which of the following polynomial defines constant polynomials?

p (x) = a x^{3} + b x^{2} + c x + d

No worries! We‘ve got your back. Try BYJU‘S free classes today!

p (x) = a x^{2} + b x + c

No worries! We‘ve got your back. Try BYJU‘S free classes today!

p (x) = c

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

p (x) = a x + b

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $p (x) = c$
Since a polynomial $p (x) = c$ is a constant polynomial with constant term $c$ ,

A polynomial $a x^{2} + b x + c$ is a quadratic polynomial with variables $x, y$ and constant $c$ and

A polynomial $a x + b$ is a linear polynomial with variable $x$ and constant $b$

Hence, $p (x) = c$ is a constant polynomial.

Suggest Corrections

Similar questions

Q. Find the zero of the polynomial in each of the following cases:
(i) p(x) = 3x - 2
(ii) p(x) = 3x
(iii) p(x) = ax, a

\neq

0
(iv) p(x) = cx + d, c

\neq

0, c, d are real numbers.

Q. Question 4
Find the zero of the polynomial in each of the following cases:
(i) p(x) = x + 5
(ii) p(x) = x - 5
(iii) p(x) = 2x + 5
(iv) p(x) = 3x - 2
(v) p(x) = 3x
(vi) p(x) = ax, a

\neq

0
(vii) p(x) = cx + d, c

\neq

0, c, d are real numbers.

Q. If

(x + 3)

and

(x^{2} + 5 x + 7)

are the factors of the polynomial

P (x) = a x^{3} + b x^{2} + c x + d

, then find

c

Find the zero of the polynomial in each of the following cases:
(i) $p (x) = x + 5$
(ii) $p (x) = x - 5$
(iii) $p (x) = 2 x + 5$
(iv) $p (x) = 3 x - 2$
(v) $p (x) = 3 x$
(vi) $p (x) = a x, a \neq 0$
(vii) $p (x) = c x + d, c \neq 0$ and $c, d$ are real numbers.

α, β

γ

are the zeroes of cubic polynomial

P (x) = a x^{3} + b x^{2} + c x + d, (a \neq 0)

then product of their zeroes

[α . β . γ] =

.................

Join BYJU'S Learning Program

Which of the following polynomial defines constant polynomials?

The correct option is C p(x)=cSince a polynomial p(x)=c is a constant polynomial with constant term c,A polynomial ax2+bx+c is a quadratic polynomial with variables x,y and constant c and A polynomial ax+b is a linear polynomial with variable x and constant bHence, p(x)=c is a constant polynomial.