Identify Variables: Identify a, b, and c in the quadratic expression q2+4q+3. Compare q2+4q+3 with the standard quadratic form ax2+bx+c. Here, a=1, b=4, and c=3.
Find Numbers: Find two numbers that multiply to c (which is 3) and add up to b (which is 4).The numbers that satisfy these conditions are 1 and 3 because:1×3=3 (product equals c)1+3=4 (sum equals b)
Write Factored Form: Write the factored form using the two numbers found in Step 2.The factored form of the quadratic expression is (q+1)(q+3).
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