Multiple choice

If $(m - 7) \ and \ (m + 6)$ are factors of quadratic expression $P$, then the expression $P$ is

  1. ${m^2} + m - 42$
  2. ${m^2} - 13m + 42$
  3. ${m^2} + 13m - 42$
  4. ${m^2} - m - 42$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

If (m-7) and (m+6) are factors, the expression is (m-7)(m+6) = m^2 + 6m - 7m - 42 = m^2 - m - 42.

AI explanation

If (m - 7) and (m + 6) are factors of expression P, we can write P as the product of these factors: (m - 7)(m + 6). Applying the FOIL method to multiply the binomials, we get m^2 + 6m - 7m - 42. Combining the middle terms gives the quadratic expression m^2 - m - 42.

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