Question

Polynomial 1: 4x2

+ 5x − 4
Polynomial 2: 4x2
+ 4x − 2
Question 1



What is the difference when polynomial 2 is subtracted from polynomial 1?
Responses


A x − 2x − 2


B x − 6x − 6


C x + 6x + 6


D x + 2

Answer 1

x + 2 (Choice D)

Explanation:

The two polynomials are
P1 = 4x² + 5x - 4

and

P2 = 4x² + 4x - 2

P1 - P2

==> (4x² + 5x - 4 ) - (4x² + 4x - 2)

Expanding brackets we get

==> 4x² + 5x - 4 - 4x² - 4x + 2 (signs inside the second parentheses are

reversed because of the - sign preceding it)

Group similar terms and add the coefficients

==> (4x² - 4x²) +(5x - 4x) +(-4 + 2)

==> 0 + x + 2

==> x + 2 (Choice D)