Question

Select all polynomial expressions that are equivalent to 6x^4 + 4x^3 – 7x^2 + 5x + 8.

Answer 1

Answer:

C and E

Step-by-step explanation:

Given

$Polynomial: 6x^4 + 4x^3 - 7x^2 + 5x + 8.$

Required

Select all equivalent polynomial

Scanning through the given options;

$A:\ 16x^{10}$

This is not equivalent because the degree of the polynomial begins from 10.

$B: 6x^5+ 4x^4 - 7x^3 +5x^2+ 8x$

This is not equivalent because the degree of the polynomial begins from 5.

$C: 6x^4+ 4x^3 - 7x^2 + 5x + 8$

Compare this to the given polynomial; They are equivalent

$Polynomial: 6x^4 + 4x^3 - 7x^2 + 5x + 8.$

$D: 8 + 5x + 7x^2 - 4x^3+ 6x^4$

Reorder

$D:\ 6x^4- 4x^3+ 7x^2+ 5x +8$

Compare this to the given polynomial; They are not equivalent because of the difference in sign in front of $7x^2$

$E:\ 8 + 5x - 7x\² + 4x^3+ 6x^4$

Reorder

$Polynomial: 6x^4 + 4x^3 - 7x^2 + 5x + 8.$

Compare this to the given polynomial; They are equivalent

$Polynomial: 6x^4 + 4x^3 - 7x^2 + 5x + 8.$

Hence:

Option C and E answers the question