Question

Multiply the monomial and polynomial -7x^2(x^3-2)

Answer 1

-7x⁵ + 14x²

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To multiply a monomial and a polynomial, we multiply the monomial by each term of the polynomial.

In this case, we have -7x² multiplied by (x³ - 2).

Multiply -7x² by x³, which gives us:

• -7x² * x³ = -7x²⁺³ = -7x⁵

Multiply -7x² by -2, which gives us:

• -7x² * (-2) = 14x²

Therefore, the result is the sum of the two:

• -7x⁵ + 14x²