Factor. m^2 + 10m + 9 ____

Identify Variables: Identify a, b, and c in the quadratic expression m^2 + 10m + 9. The quadratic expression is in the form of ax^2 + bx + c, where a = 1, b = 10, and c = 9.Find Two Numbers: Find two numbers that multiply to c (9) and add up to b (10). We are looking for two numbers that when multiplied give 9 and when added give 10. The numbers 1 and 9 satisfy these conditions because 1 * 9 = 9 and 1 + 9 = 10.Write Factored Form: Write the factored form using the two numbers found in Step 2. The factored form of the quadratic expression will be (m + 1)(m + 9), since these two binomials multiply to give the original quadratic expression.

Home

Math Problems

Algebra 1

Factor quadratics with leading coefficient 1

Full solution

Q. Factor.

\newline

m^2 + 10m + 9

Identify Variables: Identify $a$ , $b$ , and $c$ in the quadratic expression $m^2 + 10m + 9$ . The quadratic expression is in the form of $ax^2 + bx + c$ , where $a = 1$ , $b = 10$ , and $c = 9$ .
Find Two Numbers: Find two numbers that multiply to $c$ ( $9$ ) and add up to $b$ ( $10$ ). $\newline$ We are looking for two numbers that when multiplied give $9$ and when added give $10$ . The numbers $1$ and $9$ satisfy these conditions because $1 \times 9 = 9$ and $1 + 9 = 10$ .
Write Factored Form: Write the factored form using the two numbers found in Step $2$ . $\newline$ The factored form of the quadratic expression will be $(m + 1)(m + 9)$ , since these two binomials multiply to give the original quadratic expression.