Polynomials — Test

Question 1

If f of negative 2 is equal to 0 , what are all the factors of the function f of x is equal to x cubed minus 2 x squared minus 68 x minus 120 ? Use the Remainder Theorem.

Revolt · Accepted Answer

open paren x minus 10 close paren times open paren x plus 2 close paren times open paren x plus 6 close paren

Question 2

Which statement describes the graph of this polynomial function? f of x is equal to x to the 5th power minus 6 x to the 4th power plus 9 x cubed

Revolt · Accepted Answer

The graph crosses the x -axis at x is equal to 0 and touches the x -axis at x is equal to 3 .

Question 3

A polynomial function has a root of negative 3 with multiplicity 2 , a root of 0 with multiplicity 1 , a root of 1 with multiplicity 1 , and a root of 3 with multiplicity 2 If the function has a positive leading coefficient and is of even degree, which could be the graph of the function?

Revolt · Accepted Answer

Image with description On a coordinate plane, the x and y axes ranges from negative 8 to 8 with an increment of 1. The polynomial graph is drawn on the coordinate plane. The curve starts from negative 3 point 8 comma 8, touches the x axis at negative 3 comma 0, passes through the point negative 1 point 5 comma 3 point 5 and comes down to the origin. Here the curve goes down slightly and curves up to the point 2 point 1, curves down to touch x axis at point 2 comma 0 and moves to quadrant I through the point 4 comma 8.

Question 4

What is the completely factored form of p to the 4th power minus 16 ?

Revolt · Accepted Answer

open paren p minus 2 close paren times open paren p plus 2 close paren times open paren p squared plus 4 close paren

Question 5

What is the remainder when (x^4+36) is divided by (x^2−8) ?

Revolt · Accepted Answer

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Polynomials — Test Answers

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