How do I factor the expression completely: [tex]x^2 - 4x + 3[/tex]?

bx must be the sum of the numbers in the bracket and c must be the product. So we need to choose 2 numbers that multiply to make 3 and add to make -4.
A negative x negative = positive so -3*-1=3 -3-1=-4
Therefore: (x-3)(x-1)

Answered by TaylorBayley | 2024-06-10

x 2 − 4 x + 3 = x 2 − x − 3 x + 3 = x ( x − 1 ) − 3 ( x − 1 ) = ( x − 3 ) ( x − 1 )

Answered by konrad509 | 2024-06-10

The expression x 2 − 4 x + 3 can be factored as ( x − 1 ) ( x − 3 ) . To find the factors, we look for two numbers that multiply to 3 and add up to -4, which are -1 and -3. Thus, the complete factorization is ( x − 1 ) ( x − 3 ) .
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Answered by TaylorBayley | 2025-04-19