MyQuestionIcon

1

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

Factors of natural numbers

Let P(x) be (...

Question

Let P(x) be (x2 – 5x + k) and Q(x) be (x3 – 4x2 – 5x + m). If (x – 2) and (x – 3) are respectively the factor of P(x) and Q(x), then degree of Q(x)/P(x) is (1) 3 (2) 2 (3) 1 (4) Not defined

Open in App

Solution

Suggest Corrections

thumbs-up

1

Similar questions

Now for each pair of polynomials p(x) and q(x) given below, find p(x) + q(x) and p(x) − q(x). Also compute p(1) + q(1) and p(1) − q(1) for each.

(i)

(ii)

(iii)

(iv)

(v)

Now in each of the following, find the quotient and remainder on dividing p(x) by q(x) and write then in the form p(x) = u(x) q(x) + v(x).

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

p (x) = x^{2} - 5 x + a

q (x) = x^{2} - 3 x + b

, where a and b are positive integers.Suppose hcf

(p (x), q (x) = x - 1

k (x) = l c m

(p (x), q (x))

.If the coefficient of the highest degree term of k (x) is 1,the sum of the roots of

(x - 1) + k (x)

Q. Divide the polynomials

p (x)

by the polynomials

q (x)

. Find the quotient and remainder.

p (x) = x^{3} - 3 x^{2} + 5 x - 3, q (x) = x^{2} - 2

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

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

p (x) \times q (x)

and check the degree of

p (x) \times q (x)

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Introduction

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Factors of natural numbers

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon