MyQuestionIcon

1

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

Polynomials

Find the fact...

Question

Find the factors of the following expressions:

(4) y − 1 + y³ − y²

Open in App

Solution

y − 1 + y³ − y²
We can factorise this expression as:
y − 1 + y³ − y²
= (y − 1) + (y³ − y²)
= 1 (y − 1) + y² (y − 1)
= (y − 1) (1 + y²)

Suggest Corrections

thumbs-up

2

Similar questions

Q. Find the factors of the following expressions:

(6) 2x² + xy − 2xy² − y³

Q. The factors of x³ − 1 + y³ + 3xy are

(a) (x − 1 + y) (x² + 1 + y² + x + y − xy)

(b) (x + y + 1) (x² + y² + 1 −xy − x − y)

(c) (x − 1 + y) (x² − 1 − y² + x + y + xy)

(d) 3(x + y −1) (x² + y² − 1)

Q. The algebraic expression which is obtained on addition of following algebraic expressions is :

2, \frac{2 y}{3} - \frac{5 y^{2}}{3} + \frac{5 y^{3}}{2}, \frac{2 y^{2}}{3} - \frac{y^{3}}{2} - \frac{y}{3}, y^{2} - 2 y^{3} - \frac{y}{3} + 4

Q. Find the factors of the following expressions:

(10) 3y³ − 6y² + 4y − 8

Which of the following is a factor of $(x + y)^{3} - (x^{3} + y^{3})$ ?

(a) $x^{2} + y^{2} + 2 x y$

(b) $x^{2} + y^{2} - x y$

(c) $x y^{2}$

(d) $3 x y$

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Polynomials in One Variable

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon