(A) To expand the expression $(x - \frac{1}{2})^{2}$,we use the algebraic identity $(a - b)^{2} = a^{2} - 2ab + b^{2}$.Here,$a = x$ and $b = \frac{1}{

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(A) To expand the expression $(x - \frac{1}{2})^{2}$,we use the algebraic identity $(a - b)^{2} = a^{2} - 2ab + b^{2}$.Here,$a = x$ and $b = \frac{1}{2}$.Substituting these values into the identity:$(x - \frac{1}{2})^{2} = (x)^{2} - 2(x)(\frac{1}{2}) + (\frac{1}{2})^{2}$.Simplifying the terms:$= x^{2} - x + \frac{1}{4}$.

Class 9 Mathematics Polynomials Mix Examples - Polynomials

Easy

Expand $(x - \frac{1}{2})^{2}$.

A
$x^{2} - x + \frac{1}{4}$
B
$x^{2} + x + \frac{1}{4}$
C
$x^{2} - x - \frac{1}{4}$
D
$x^{2} - \frac{1}{4}$

Explore More

Browse All

Question Bank

All Subjects

Class 9 Questions

Class 9

Mathematics Questions

Chapter

Polynomials

Subtopic

Mix Examples - Polynomials

Find $p(0)$,$p(1)$,and $p(-2)$ for the following polynomial:
$p(x) = 10x - 4x^{2} - 3$

Medium

View Solution

For $p(x) = x^{3} + 9x^{2} + 26x + 24$,find the value of $p(-2)$.

Easy

View Solution

State whether the following statement is True or False. Justify your answer.
$A$ binomial may have degree $5$.

Easy

View Solution

Find $p(1)$,$p(2)$,and $p(4)$ for the polynomial $p(x) = x^{3} - 7x^{2} + 14x - 8$.

Medium

View Solution

If $x^{2}-10x+21=(x+m)(x+n)$,then $m+n = \ldots$

Easy

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

Expand $(x - \frac{1}{2})^{2}$.

Similar Questions

Find $p(0)$,$p(1)$,and $p(-2)$ for the following polynomial:$p(x) = 10x - 4x^{2} - 3$

For $p(x) = x^{3} + 9x^{2} + 26x + 24$,find the value of $p(-2)$.

State whether the following statement is True or False. Justify your answer.$A$ binomial may have degree $5$.

Find $p(1)$,$p(2)$,and $p(4)$ for the polynomial $p(x) = x^{3} - 7x^{2} + 14x - 8$.

If $x^{2}-10x+21=(x+m)(x+n)$,then $m+n = \ldots$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Find $p(0)$,$p(1)$,and $p(-2)$ for the following polynomial:
$p(x) = 10x - 4x^{2} - 3$

State whether the following statement is True or False. Justify your answer.
$A$ binomial may have degree $5$.