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.

Question

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.

Asked on April 25, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

Accepted Answer · 2026-04-25T12:30:41.366Z

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:

Accepted Answer · 2026-04-25T12:30:41.366Z

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:

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.