mathematics for the final examination

Question

1.) If 7 is a zero of the polynomial 2x³+14x²+x-7, which of the following is TRUE?

a) 7 is a factor of the polynomial

b) x+7 is a factor of the polynomial

c) x-7 is a factor of the polynomial

d) if -7 is substituted in x in the polynomial, the result is 0.

2.) which of the following is a polynomial function?

a) f(x)=

b) g(x)=x²

c) h(x)=

d) l(x)=x

3.) what is the y-intercept of the graph P(x)=x(to the power of four)-2x²+1?

a 0

b 1

c 2

d 4

4.) which of the following is TRUE about an n-degree polynomials?

a) it has "n" number of real roots.

b) it has exactly one x-intercepts.

c) it has "n" number of y-intercepts.

d) it has exactly n-1 turning points.

5) which of this angles has it's vertex on the center and it's sides are the radii of the circle?

a) central angle

b)exterior angle

c) inscribed angle

d) right angle

6) what is the 9th term of the Fibonacci sequence 1,1,2,3,...?

a)21

b)32

c)34

d)55

Answer 1

1. C) is correct if 7 is a zero, then change its sign and stick an x in front to get a factor x -7 is a factor

3.B) is correct. y intercept =1. just plug x=0 into the polynomial, that leaves the constant term as the y intercept

4.D) is the best answer. quadratic has 1 turning point, cubic has 2 turning points an n degree has n-1 turning points

6.C) is correct: 1,1,2,3,5,8,13,21,34 34 is the 9th term