MyQuestionIcon

1

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

Factor Theorem

If 2 x +1 is ...

Question

If 2x + 1 is one factor of the polynomial 2x^2 - x - 1, then find the other factor.

Open in App

Solution

2x^2 - x - 1

= 2x^2 - 2x + x - 1

= 2x(x-1) + 1(x-1)

(2x + 1)(x-1)

so (x-1) is the other factor of the polynomial

Suggest Corrections

thumbs-up

30

Similar questions

(x - 1)

is one of the factors of the polynomial

(x^{3} - 5 x^{2} + 8 x - 4),

then find the other factors using synthetic division.

x + 1

is a factor of the polynomial

2 x^{2} + k x,

then the value of

k

x + 1

x - 1

are factors of polynomial

x^{4} + p x^{3} - 3 x^{2} + 2 x + q

then find the value of

P & Q

Q. Which of the following represents factors of the cubic polynomial,

2 x^{3} + x^{2} - 2 x - 1 ?

Q. If x + 1 is a factor of the polynomial ax³ + x² – 2x + 4a – 9, then a = __________.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Factor Theorem

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon