Polynomial Algebra

Write a 4th degree polynomial function with:
*a positive leading coefficient
*zeros: 9, 3, -2, 0

• y = x(x - 9)(x - 3)(x + 2)

• y = x(x + 9)(x + 3)(x - 2)

• y = -x(x - 9)(x - 3)(x + 2)

• y = -x(x + 9)(x + 3)(x - 2)

Identify the relative maximum:

• (0, 3)

• (4, 1)

• (3, 0)

• (1, 4)

y =  ^_(x + 2)(x - 1)² y = -(x - 2)(x + 1)² y = (x - 2)(x + 1)² y = -x³

• y =  ^_(x + 2)(x - 1)²

• y = -(x - 2)(x + 1)²

• y = (x - 2)(x + 1)²

• y = -x³

• y = x(x - 3)(x - 2)
• y = x(x - 3)² (x+2)
• y = x(x + 3)² (x - 2)
• y = -x(x + 3)² (x - 2)

Write a quadratic function that has the following characteristics:
*negative leading coefficient
*ONLY zero: 7

• y = -(x + 7)(x - 7)

• y = -(x - 7)²

• y = -(x + 7)²

• y = -(x - 7)⁴

Simplify. (5x³-x+3)+(x³-9x²+4x)

• 6x³+3x+3

• 6x³-9x²+3x+3

• -3x³+3x+3

• 6x³-9x²+3

Find all the real zeros of the function f(x)=x³-4x²-11x+30

• 3, 2, 5

• -3, -2, -5

• -3, 2, 5

• 3, -2, -5

• a⁶ / b¹²
• b¹²/ a⁴
• a¹² / b⁶
• 1 / a⁶b¹⁰

Given the function above, choose the true statement with respect to its end behavior.

Tags

end behavior of polynomial functions

Which of the following could be a possible equation for the function shown?

• f(x) =-2x³ + x² - 5x + 1

• f(x) = 2x³ - 4x² + x + 1

• f(x) = 3x² + 5x + 1

• f(x) = -2x³ +3x - 1