Finding Zeros of Polynomial Equations: Factoring and Zero Product Property

This lesson teaches how to find zeros of quadratic polynomials by factoring and using the zero product property. It covers examples of factoring different quadratic equations, including those with negative constants and leading coefficients. The lesson emphasizes the importance of setting factors to zero to find solutions and addresses common misconceptions about identifying zeros.

What is the result when any number is multiplied by zero?

• Infinity

• One

• Zero

• The number itself

Which pair of factors adds up to 9 in the polynomial x^2 + 9x + 20?

• 4 and 5

• 3 and 6

• 2 and 10

• 1 and 20

What are the correct zeros for the polynomial x^2 + 9x + 20?

• -9 and -20

• 9 and 20

• -4 and -5

• 4 and 5

Which factor pair gives a sum of 3 in the polynomial x^2 + 3x - 40?

• 2 and -20

• 4 and 10

• 5 and -8

• 1 and -40

What is the zero of the polynomial 2x^2 + x - 10 when solved using factoring?

• x = 5

• x = -5

• x = -2.5

• x = 2