Understanding zeroes and factors of polynomials

• 36

• 21

• 16

• 25

Use the Rational Root Theorem to list the possible rational zeros.

• A
• B
• C
• D

Given the zeros below, what are the factors?

• (3x-2) (4x-1)
• (2x-3) (1x-4)
• (3x-2) (1x-4)
• (2x-3) (4x-1)

what is the alternative method in factor theorem instead of (see pic) ?

• long division

• slitting method

• LCM

• HCF

• none of the above

Factor:

x³-12x²+47x-60=0

Hint: find zeros first

• (x-3)(x-4)(x-5)=0

• (x+1)(x-4)(x-5)=0

• (x-3)(x-4)(2x-5)=0

• (x-5)(x-4)(x-5)=0

 $3x^3-9x^2-12x$  

When factored completely, which is a factor of

•  $\left(x-3\right)$  

•  $\left(x-4\right)$  

•  $\left(3x-1\right)$  

•  $\left(3x-4\right)$  

• x = 3

• x = 4

• x = -2

• x = -1

• Yes f(-1) = 0

• No, f(-1) = 24

• Yes, f(1) = 0

• No, f(1) = 24

Assume that a polynomial has a solution at the x-value 4.

Which of the following must be a factor of that same polynomial?

• 4x

• x - 4

• x + 4

Given $p\left(x\right)=x^3-3x^2+kx+75$   and  $q\left(x\right)=x+5$  , what is the value of k if  $q\left(x\right)\$  is a factor?

• k=25

• k=-25

• k=20

• k=-21