Solving Polynomial Equations Worksheet

Grade 9 math worksheet on solving polynomial equations, including factoring, quadratic formula, and graphing.

Grade 9 Math AlgebraSolving Polynomial Equations

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.APR.B.2CCSS.MATH.CONTENT.HSA.REI.B.4

7 sections · Free to use · Printable

Solving Polynomial Equations

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Read each question carefully and solve for the unknown variable(s). Show all your work.

1. Solve the following polynomial equation by factoring: x² + 7x + 10 = 0

2. Find the roots of the equation: 3x² - 12x = 0

3. The quadratic formula is used to solve equations of the form ax² + bx + c = 0. The formula is x = .

4. Solve the equation 2x² + 5x - 3 = 0 using the quadratic formula. The solutions are x = and x = .

5. Which of the following is a cubic polynomial equation?

2x² + 3x - 1 = 0

4x³ - x + 5 = 0

x⁴ - 2x² = 0

5x - 7 = 0

6. A polynomial equation of degree 'n' always has exactly 'n' real roots.

True

False

7. Graph the equation y = x² - 4 and identify the x-intercepts. What do these x-intercepts represent in terms of the equation x² - 4 = 0?