Question

question
expand the expression to a polynomial in standard form:
$(3x - 4)(x^2 + 6x + 7)$

Explanation:

Step1: Distribute $3x$ to each term

$3x(x^2 + 6x + 7) = 3x^3 + 18x^2 + 21x$

Step2: Distribute $-4$ to each term

$-4(x^2 + 6x + 7) = -4x^2 - 24x - 28$

Step3: Combine all expanded terms

$3x^3 + 18x^2 + 21x - 4x^2 - 24x - 28$

Step4: Combine like terms

$3x^3 + (18x^2 - 4x^2) + (21x - 24x) - 28$

Answer:

$3x^3 + 14x^2 - 3x - 28$