+0

# 1. Kristina used synthetic division to divide the polynomial f(x) by x−2, as shown on the table.

0
125
1

1. Kristina used synthetic division to divide the polynomial f(x) by x−2, as shown on the table.

What is the value of f(2)?

A).-14     B).-1   C).-2   D).-1

2. Which binomial expressions are factors of 2x3+5x2−x−6?

Select each correct answer.

X+1

X-2

X-1

X+2

3. Three is a zero of the equation x3−4x2−3x+18=0.

Which factored form is equivalent to the equation?

A). (x−2)(x−3)(x+3)=0

B). (x+2)(x−3)2=0

C). (x+2)(x−3√)(x+3√)=0

D). (x−2)(x−3)2=0

Guest Oct 23, 2017
Sort:

#1
+78604
+1

The answer to the  first one sould be  -11

2x^3 +5x^2−x−6

Write 5x^2  as  4x^2 + x^2......and we have.....

2x^3 + 4x^2 + x^2 - x - 6

2x^2 ( x + 2) + ( x + 2)(x - 3)

(x + 2) [ 2x^2 + x - 3]

(x + 2) (2x +3) (x - 1)

x^3−4x^2−3x+18 = 0

Using some synthetic division, we have

3  [   1   - 4      -3      18  ]

3      -3     -18

_______________

1    -1      -6       0

The remaining polynomial  is   x^2  - x  - 6    which factors as  (x - 3) ( x + 2)

So ....   the factored form is  (x - 3) ( x - 3) ( x + 2)  = ( x + 2) ( x - 3)^2 = 0

CPhill  Oct 23, 2017

### 14 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details