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Factor.\newlinez23z4z^2 - 3z - 4

Full solution

Q. Factor.\newlinez23z4z^2 - 3z - 4
  1. Identify Correct Numbers: The numbers that work are 4-4 and +1+1 because 4×1=4-4 \times 1 = -4 and 4+1=3-4 + 1 = -3. Write the expression as (z4)(z+1)(z - 4)(z + 1).
  2. Use FOIL Method: Check the factoring by using the FOIL method (First, Outer, Inner, Last) to multiply the two binomials.\newline(z4)(z+1)=z2+z4z4=z23z4(z - 4)(z + 1) = z^2 + z - 4z - 4 = z^2 - 3z - 4.