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Pearson Algebra 2 Common Core, 2011

PA

Pearson Algebra 2 Common Core, 2011 View details

End-of-Course Assessment

Finish the assignment

Exercise 3 Page 964

Substitute the function rules and then perform the function operation.

A

Practice makes perfect

We are given two functions and we want to find the difference between them. f(x)=x^3-4x^2+9x g(x)=6x^3+x^2-5x-12Let's substitute the given function rules for f(x) and g(x).

f(x)-g(x)

f(x)= x^3-4x^2+9x, g(x)= 6x^3+x^2-5x-12

( x^3-4x^2+9x)-( 6x^3+x^2-5x-12)

Now that we have done the substitutions, we are able to perform the subtraction. Let's start by using the Distributive Property.

(x^3-4x^2+9x)-(6x^3+x^2-5x-12)

Remove parentheses

x^3-4x^2+9x-(6x^3+x^2-5x-12)

Distribute - 1

x^3-4x^2+9x-6x^3-x^2+5x+12

Add and subtract terms

- 5x^3 - 5x^2 +14 x +12

This corresponds to option A.

Subchapter links

Exercises p.964-971