MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Zeroes of a Polynomial

Find the 0 of...

Question

Find the 0 of the polynomial r(x) = x2 + 3x

Open in App

Solution

Solution:
Zero means root.
For that, put equation = 0
x^2 + 3x = 0
x(x+3)=0
Either x=0 or x+3=0
x=0 or x= -3.

Suggest Corrections

thumbs-up

7

Similar questions

Q. Verify that
(i) 1 and 2 are the zeros of the polynomial p(x) = x² − 3x + 2.
(ii) 2 and −3 are the zeros of the polynomial q(x) = x² + x − 6.
(iii) 0 and 3 are the zeros of the polynomial r(x) = x² − 3x.

Consider an unknown polynomial which when divided by

(x - 3)

(x - 4)

leaves remainders

2

1

respectively. Let

R (x)

be the remainder when this polynomial is divided by

(x - 3) (x - 4)

.

f (x) = \frac{R (x)}{(x^{2} - 3 x + 2)}

p (x) = x^{2} - 3 x + 2, q (x) = 3 x + 1

p (x) + q (x)

p (x) + q (x) + r (x) = 0

r (x)

.
(c) What number is

p (1) + q (1) + r (1)

f (x) = 3 x^{3} + x^{2} + 2 x + 5

by a polynomial

g (x) = x^{2} + 2 x + 1

, the remainder

r (x) = 9 x + 10

. Find the quotient polynomial

q (x)

Q. Find the zeroes of the following polynomial:

p (x) = r x + s; r \neq 0

.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Zeroes of a Polynomial concept

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Zeroes of a Polynomial

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon