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Factor.\newlinej2+24j+23j^2 + 24j + 23

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Q. Factor.\newlinej2+24j+23j^2 + 24j + 23
  1. Identify Variables: Identify aa, bb, and cc in the quadratic expression j2+24j+23j^2 + 24j + 23. Compare j2+24j+23j^2 + 24j + 23 with the standard quadratic form ax2+bx+cax^2 + bx + c. Here, a=1a = 1, b=24b = 24, and c=23c = 23.
  2. Find Product and Sum: Find two numbers whose product is aca*c (which is 2323) and whose sum is bb (which is 2424).\newlineWe need to find two numbers that multiply to 2323 and add up to 2424.\newlineThe numbers 11 and 2323 satisfy these conditions because:\newline1×23=231 \times 23 = 23 (product)\newline1+23=241 + 23 = 24 (sum)
  3. Write Factored Form: Write the factored form using the two numbers found in Step 22.\newlineThe factored form of the quadratic expression is (j+1)(j+23)(j + 1)(j + 23).