Factor. x^(2)-7x+6 Answer:

Identify Coefficients: Identify the coefficients of the quadratic expression. The quadratic expression is x^2 - 7x + 6. Here, the coefficient of x^2 (a) is 1, the coefficient of x (b) is -7, and the constant term (c) is 6.Find Multiplying Numbers: Determine two numbers that multiply to the constant term (c) and add up to the coefficient of x (b). We need to find two numbers that multiply to 6 and add up to -7. The numbers that satisfy these conditions are -6 and -1 because -6 * -1 = 6 and -6 + -1 = -7.Write Factored Form: Write the factored form using the two numbers found in the previous step. The factored form of the quadratic expression x^2 - 7x + 6 is (x - 6)(x - 1), since these factors multiply to give the original quadratic expression.

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Q. Factor.

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x^{2}-7 x+6

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Answer:

Identify Coefficients: Identify the coefficients of the quadratic expression. $\newline$ The quadratic expression is $x^2 - 7x + 6$ . Here, the coefficient of $x^2$ $(a)$ is $1$ , the coefficient of $x$ $(b)$ is $-7$ , and the constant term $(c)$ is $6$ .
Find Multiplying Numbers: Determine two numbers that multiply to the constant term $c$ and add up to the coefficient of $x$ ( $b$ ). $\newline$ We need to find two numbers that multiply to $6$ and add up to $-7$ . The numbers that satisfy these conditions are $-6$ and $-1$ because $-6 \times -1 = 6$ and $-6 + -1 = -7$ .
Write Factored Form: Write the factored form using the two numbers found in the previous step. $\newline$ The factored form of the quadratic expression $x^2 - 7x + 6$ is $(x - 6)(x - 1)$ , since these factors multiply to give the original quadratic expression.