Question

Simplify the following polynomial expression? (5x^4-9x^3+7x-1)+(-8x^4+4x^2-3x+2)-(-4x^3+5x-1)(2x-7)

Answer 1

-11x^4+19x^3-6x^2+41x-6

Answer 2

Simplify the following polynomial expression:

(5x^4 - 9x^3 + 7x -1) + ( -8x^4 + 4x^2 - 3x + 2) - ( -4x^3 + 5x -1) (2x - 7)

Lets Simplify Your Equation, Step by Step:

(5x^4 - 9x^3 + 7x -1) + ( -8x^4 + 4x^2 - 3x + 2) - ( -4x^3 + 5x -1) (2x - 7)

Solution: ===> 5x^4 − 37x^3 − 6x^2 + 41x − 6 = 0

Distribute:

= 5x^4 + -9x^3 +7x + −1 + −8x^4 + 4x^2 + −3x + 2 + 8x^4 + −28x^3 + −10x^2 + 37x + −7

Combine Like Terms:

= 5x^4 + −9x^3 +7x + −1 + −8x^4 + 4x^2 + −3x + 2 + 8x^4 + −28x^3 + −10x^2 + 37x + −7

= (5x^4 + −8x^4 +8x^4) + (−9x^3 + −28x^3) +(4x^2+ −10x^2) +(7x + −3x + 37x)+(−1 + 2 + −7)

= 5x^4 + −37x^3 + −6x^2 + 41x + − 6

Hence, Answer:

= 5x^4 −37x^3 −6x^2 + 41x − 6 = 0

Hope that helps!!!! : )