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

-3x^4 - 13x^3 + 14x - 7

Step-by-step explanation:

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

simplify multiplied terms

(-4x^3 + 5x - 1)(2x – 7)

(-4x^3+10x-8)

group like terms together

(5x^4-8x^4) + (-9x^3-4x^3) + (7x-3x+10x) + (-1+2-8)

simplify grouped terms

-3x^4 - 13x^3 + 14x - 7

Graph the inequality by finding the boundary line, then shading the appropriate area.

y

≤

3

x

−

2

Step-by-step explanation: