Solving Polynomial Equations by Graphing and Factoring

Which method would be best to solve the equation (x² + 2x - 8 = 0) in standard form?

• Factoring

• Quadratic Formula

• Elimination

• Substitution

What are the factor of x² + 2x - 8?

• (x + 4)(x + 2)

• (x - 4)(x - 2)

• (x - 4)(x + 2)

• (x + 4)(x - 2)

fill in the blank

when we plot all the points that satisfy an equation we_____ it. This ______ of an equation is formed by all the points in the plane that make it true.

• function

• function

• graph

• method

Find (x +2)(x + 3)

• x² + 5x + 6

• x² + x + 6

• x² + 5x + 5

• x² + 6x + 6

What is the factored form for the following cubic function?

• 2x(x - 3)(x - 4)

• x(x + 3)(x + 4)

• x(x - 3)(x + 4)

• (x + 3)(x - 3)(x - 4)

Write the factored form of the graph.

• (x+1)(x+2)(x-1)(x-3)(x+4)

• x(x-2)(x+1)(x+3)(x-4)

• x(x+2)(x-1)(x-3)(x-4)

• (x+2)(x-1)(x-3)(x+4)

Write the factored form of the graph.

• x(x-2)(x-4)(x-1)

• (x+2)(x-1)(x-4)

• (x+1)(x+2)(x-1)(x-4)

• x(x+2)(x-1)(x-4)

Write the function in factored form given the graph.

• p(x)= (x+1)(x-2)(x-4)

• p(x)= (x+1)(x+2)(x+4)

• p(x)= (x-1)(x+2)(x+4)

Which of the following could be the factored form for the equation representing the graph shown?

• (x+3)(x-2)(x-5)

• (x-5)²(x-2)(x+3)

• (x-3)(x+2)(x+5)²

• none of these

What is the equation in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)

• f(x) = (x-4)(x+1)²(x+2)(x+4)

• f(x) = (x-4)(x-1)²(x-2)(x+4)

• f(x) = (x+4)(x+1)²(x-2)(x-4)