Question

14)
$(x^2 - 3x + 1)(x^2 + 4x - 2)$

Explanation:

Step1: Distribute first polynomial terms

$x^2(x^2 + 4x - 2) - 3x(x^2 + 4x - 2) + 1(x^2 + 4x - 2)$

Step2: Expand each product

$x^4 + 4x^3 - 2x^2 - 3x^3 - 12x^2 + 6x + x^2 + 4x - 2$

Step3: Combine like terms

$x^4 + (4x^3 - 3x^3) + (-2x^2 - 12x^2 + x^2) + (6x + 4x) - 2$

Step4: Simplify each term group

$x^4 + x^3 - 13x^2 + 10x - 2$

Answer:

$x^4 + x^3 - 13x^2 + 10x - 2$