Practice30 Create account

A field of area $(x^{2} + 7 x + 10)$ sq m is rectangular with one side of length $(x + 2)$ m.
What is the length of the other side?

Class 10Division AlgorithmAlgebra — Polynomials

A $(x + 5) m$
B $(x + 2) m$
C $(x + 10) m$
D $(x - 5) m$

Step-by-Step Solution

Other side = Area / side =

\frac{x ^{2} + 7 x + 10}{x + 2}

. Since

x^{2} + 7 x + 10 = (x + 2) (x + 5)

, the other side is

(x + 5)

m.

Answer: A)

(x + 5) m

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Division Algorithm practice questions

More Class 10 Division Algorithm practice

Find the values of a and b so that x^4 + x^3 + 8x^2 + ax + b is exactly divisible by x^2…Find the values of a and b so that x^4 + x^3 + 8x^2 + ax + b is exactly divisible by x^2…Two of the zeroes of x^4 - 6x^3 - 26x^2 + 138x - 35 are 2 + √3 and 2 - √3. The product…Continuing: x^4 - 6x^3 - 26x^2 + 138x - 35 is divided by x^2 - 4x + 1. What is the…On dividing p(x) by g(x) = x^2 - 3, a student gets quotient (x + 1) and remainder (2x -…