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Factor.\newlinek2+3k+2k^2 + 3k + 2

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Q. Factor.\newlinek2+3k+2k^2 + 3k + 2
  1. Identify aa, bb, cc: Identify aa, bb, and cc in the quadratic expression k2+3k+2k^2 + 3k + 2.\newlineThe quadratic expression is in the standard form ax2+bx+cax^2 + bx + c, where a=1a = 1, b=3b = 3, and bb00.
  2. Find two numbers: Find two numbers that multiply to cc (which is 22) and add up to bb (which is 33).\newlineThe two numbers that satisfy these conditions are 11 and 22 because 1×2=21 \times 2 = 2 and 1+2=31 + 2 = 3.
  3. Write factored form: Write the factored form using the two numbers found in Step 22.\newlineThe factored form of the quadratic expression is (k+1)(k+2)(k + 1)(k + 2).