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If two numbers are − 3 and − 5 , with sum − 8 and product + 15, then which is the correct algebraic expression?
  1. x ^2 −8x+15
  2. x ^2 +8x+15
  3. x ^2 +3x−5
  4. 𝑥^2 − 3 𝑥 − 5
Explanation

  • Sum of two numbers: −3+(−5)=−8-3 + (-5) = -8

  • Product: (−3)×(−5)=+15(-3) times (-5) = +15

Let’s now write an algebraic expression where the sum is −8-8and the product is +15+15.

This is a quadratic expression of the form:

x2+8x+15x^2 + 8x + 15


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