Identify Expression: Identify the expression to be factored. The given expression is a quadratic trinomial: 10p^2 - 9p + 2.Find Two Numbers: Look for two numbers that multiply to give the product of the coefficient of p^2 (which is 10) and the constant term (which is 2), and add up to the coefficient of p (which is -9). The two numbers that satisfy these conditions are -1 and -10, because (-1) * (-10) = 10 and (-1) + (-10) = -11, which is not -9. This is a mistake, we need to find the correct pair of numbers.

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f) $10 p^{2}-9 p+2$

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Algebra 2

Add, subtract, multiply, and divide polynomials

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Q. f)

10 p^{2}-9 p+2

Identify Expression: Identify the expression to be factored. $\newline$ The given expression is a quadratic trinomial: $10p^2 - 9p + 2$ .
Find Two Numbers: Look for two numbers that multiply to give the product of the coefficient of $p^2$ (which is $10$ ) and the constant term (which is $2$ ), and add up to the coefficient of $p$ (which is $-9$ ). $\newline$ The two numbers that satisfy these conditions are $-1$ and $-10$ , because $(-1) \times (-10) = 10$ and $(-1) + (-10) = -11$ , which is not $-9$ . This is a mistake, we need to find the correct pair of numbers.