Polynomials — Test

Question 1

Which geometric series converges?

Revolt · Accepted Answer

1 plus 1 half plus 1 fourth plus 1 eighth plus dot dot dot

Question 2

Which expression represents the sixth term in the binomial expansion of open paren 5 y plus 3 close paren to the 10th power ?

Revolt · Accepted Answer

10 cap c sub 5 5 y to the 5th power 3 to the 5th power

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

Which is a potential rational root of f of x at point cap p ?

Revolt · Accepted Answer

The root at point cap p may be 3 fifths .

Question 5

What are the roots of the polynomial equation?

Revolt · Accepted Answer

negative 3 , negative 2 , 3

Polynomials — Test Answers

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