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English 10 Public

Quadratics; Polynomials; Zeros

Study Slideshow

Identify the vertex, axis of symmetry, and any x-intercepts.

Vertex: (-4, -1) AOS: x = -4 No Real Intercepts

Identify the vertex, axis of symmetry, and any x-intercepts.

Vertex: (3, 2) AOS: x= 3. x-intercepts: 1.586 & 4.414

Change the equation: y = x^2 + 8x - 3 into vertex form.

y = (x + 4)^2 - 19

Write the equation of the quadratic in vertex form whose vertex is (-2,-11) and also passes through the point (1,-2).

y = (x + 2)^2 - 11

Find the zeros and their multiplicity.

x = 7, Mult. 8 & x = 2.5, Mult. 2

Divide using synthetic division.

b^4 - 8b^3 - 4b^2 + 2b + 5 - 7/(b + 7)

Use long division to solve.

5x^2 + 4x + 6 + 1/(2x - 3)

Describe the end behavior of the function and the maximum number of turning points.

End Behavior: Left Up/ Right Down. Turning Points: 4

Find the rest of the zeros of the function using synthetic division and the quadratic formula.

Zeros: 1, -1, and 1/3

Find a polynomial function with zeros: -2, -5, and 3.

f(x) = x^3 + 4x^2 - 11x - 30