Question

expand the expression to a polynomial in standard form:
$(x + 2)(3x^2 + 5x + 10)$

Explanation:

Step1: Apply distributive property

$x(3x^2 + 5x + 10) + 2(3x^2 + 5x + 10)$

Step2: Multiply through each term

$3x^3 + 5x^2 + 10x + 6x^2 + 10x + 20$

Step3: Combine like terms

$3x^3 + (5x^2 + 6x^2) + (10x + 10x) + 20$

Step4: Simplify the combined terms

$3x^3 + 11x^2 + 20x + 20$

Answer:

$3x^3 + 11x^2 + 20x + 20$