Find the product. (q² + 3q - 7)(-5q - 7) A) -5q³ - 22q² + 14q + 49 B) -5q³ - 22q² + 14q - 49 C) -5q³ + 22q² + 14q + 49 D) -5q³ - 22q² - 14q + 49

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Multiplying the given polynomials, we first distribute each term of the first polynomial across the second polynomial. The term -5q multiplies with each term in the first polynomial, and then -7 does the same. The key is to correctly apply the distributive property (a(b + c) = ab + ac) and combine like terms, ensuring to correctly manage the signs and coefficients. The correct product results in the expression given in option A, following the rules of polynomial multiplication and combining like terms.

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