Question

(5x⁴ - 4x³ - 2x² + x - 19) - (x⁴ + 5x³ + 8x² + x + 5) 4x⁴ - 9x³ - 10x² - 2x - 24 4x⁴ - 9x³ - 10x² - 24 -4x⁴ - 9x³ - 10x² - 24 4x⁴ - 9x³ - 10x² + 2x - 24

Explanation:

Step1: Distribute the negative sign

$(5x^4 - 4x^3 - 2x^2 + x - 19) - x^4 - 5x^3 - 8x^2 - x - 5$

Step2: Combine like $x^4$ terms

$5x^4 - x^4 = 4x^4$

Step3: Combine like $x^3$ terms

$-4x^3 - 5x^3 = -9x^3$

Step4: Combine like $x^2$ terms

$-2x^2 - 8x^2 = -10x^2$

Step5: Combine like $x$ terms

$x - x = 0x$

Step6: Combine constant terms

$-19 - 5 = -24$

Step7: Assemble the polynomial

$4x^4 - 9x^3 - 10x^2 - 24$

Answer:

$4x^4 - 9x^3 - 10x^2 - 24$