Question

Find the remainder when x^2-3x^2+3x-1
is divided by x-1/2 using remainder
theorem.
​

Answer 1

$\huge{\bold{SOLUTION:-}}$

$<b>Given expression is$

⇒ ${x}^{2} - 3 {x}^{2} + 3x - 1$

Let's find the value of 'x'

⇒ $x - \frac{1}{2} = 0$

⇒ $x = \frac{1}{2}$

Substitute the value of 'x' in the expression to find the remainder

⇒ $\frac{1}{2} \times \frac{1}{2} - 3 \times \frac{1}{2} \times \frac{1}{2} + 3 \times \frac{1}{2} - 1$

⇒ $\frac{1}{4} - \frac{3}{4} + \frac{3}{2} - 1$

⇒ $0$

Therefore , the given value of x is the factor of given expression