Factor the quadratic expression x²-4x+3. We need two numbers that multiply to 3 and add to -4. These numbers are -1 and -3.

Here are the solutions to the questions:

I.ii. One of the Factor of the expression $x^2-4x+3$ is:

Step 1: Factor the quadratic expression $x^2-4x+3$. We need two numbers that multiply to 3 and add to $-4$. These numbers are $-1$ and $-3$.

$$x^2-4x+3 = (x-1)(x-3)$$

• The factors are $(x-1)$ and $(x-3)$.
• The correct option is B) $x-3$.

I.iii. The HCF of the algebraic expressions $(x^2-16)$ & $x-4$ is: