Question

How do you multiply monomials by polynomials?

Answer 1

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✍️$\huge\boxed{\fcolorbox{blue}{pink}{Answer}}$✍️

-- In short---

Since each term in a polynomial is a monomial, multiplying polynomials becomes multiplying monomials. Multiply a Monomial by a Monomial: When multiplying monomials, use the product rule for exponents. The factors are regrouped, and then multiplied.

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Answer 2

Question ⤵️

How do you multiply monomials by polynomials?

Answer ⤵️

Step-1 : Multiply the monomial with the first term of the polynomial to get the first term of the answer.

Step-2 : Now, multiple the monomial with the second and third terms of the polynomial to get the respective terms of the answer.

Step-3 : Now, simplify the expression by combining the like terms and putting appropriate sign for each unlike term.

Example ⤵️

2x^2 × (8x + 5y - 3z) = 16x^3 + 10x^2y - 6x^2z = 16x^3 + 10x^2y - 6x^2z.✌