Solutions Factors and Zeros

Find the zeros of the function and graph.
y=(x + 2)(x - 3)(3x - 5)

• x=-2, x=3, x=5/3

• x=2, x=-3, x=-3/5

• x=2, x=-3, x=5/3

• x=-2, x=3, x=5

What are the solutions to the polynomial:  p(x)=(2x-1)(x² +3x +1) 
(Hint: Use quadratic formula for x²+3x+1)

• x=1/2, (-3+√5)/2, (-3-√5)/2

• x=1/2, (3+√5)/2, (3-√5)/2

• x=-1/2, (-3+√5)/2, (-3-√5)/2

• x=-1/2, (3+√5)/2, (3-√5)/2

What are the zeros of the polynomial and state their multiplicity at each.
y = (x - 5)(x + 2)²

• x = 5 multi 1,  x = 2 multi 2

• x = -5 multi 2, x = -2 multi 1

• x = 5 multi 1, x = -2 multi 2

• x = 5 multi 2, x = -2 multi 1

Find the zeros of the polynomial given one factor.

• X= 3,4,5

• x=-3,-4,-5

• x=-3,4,5

• x= 3, -4, -5

A function is shown below. H\left(x\right)=4x^3-5x^2-23x+6 What is the distance, to the nearest hundredth of a unit, between the two zeros that are closest to each other?

Mathematical Equivalence

ON

• There is no relationship between the factors and the zeros.

• If you set each factor equal to 0 and solved you would get the zeros.

• The number inside each parenthesis are the zeros of the equation

• The zero is the sum of the numbers inside the parenthesis.

Mathematical Equivalence

ON

A function is shown below. What is the distance, to the nearest hundredth of a unit, between the two zeros that are closest to each other?

Mathematical Equivalence

ON

Solve by factoring:  2x³+ 7x² + 6x = 0

• x=0, x= 3/2 and x = 2

• x=0, x = -3/2 and x = -2

• x=0, x = 6 and x = 7

• x=2, x = -6 and x = -7

f(x)= x²(x – 2)³(x – 7)

State the zeros, include multiplicity.

• 0 (Mult of 2), 2 (Mult of 3), 7 (mult 1)

• 2 (Mult of 3), 7 (mult 1)

• 0, 2, 7

• 2 (mult of 2), 7 (mult of 3)