객관식
Multiply the polynomials using special product formulas.
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0. Review of Algebra
Multiplying Polynomials
1:58분문제 9
교과서 질문
In Exercises 9–22, multiply the monomial and the polynomial. 4x²(3x+2)
검증된 단계별 안내1
Identify the monomial and the polynomial: The monomial is \(4x^2\) and the polynomial is \(3x + 2\).
Apply the distributive property: Multiply the monomial \(4x^2\) by each term in the polynomial \(3x + 2\).
First, multiply \(4x^2\) by \(3x\): Use the rule \(a^m \cdot a^n = a^{m+n}\) to combine the exponents of \(x\).
Next, multiply \(4x^2\) by \(2\): Simply multiply the coefficients and keep the \(x^2\) term as it is.
Combine the results from the previous steps to express the final expanded polynomial.
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1m주요 개념
질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.
Monomials
A monomial is a mathematical expression that consists of a single term, which can be a number, a variable, or a product of numbers and variables raised to non-negative integer powers. In the given question, '4x²' is a monomial, representing a coefficient (4) multiplied by a variable (x) raised to the power of 2.
추천 영상:
05:13
Introduction to Polynomials
Polynomials
A polynomial is an algebraic expression that consists of one or more terms, where each term is a product of a coefficient and variables raised to non-negative integer powers. The expression '3x + 2' is a polynomial with two terms, known as a binomial, which can be added or subtracted to form more complex expressions.
추천 영상:
05:13Introduction to Polynomials
Distributive Property
The distributive property is a fundamental algebraic principle that states a(b + c) = ab + ac. This property allows us to multiply a monomial by each term in a polynomial. In the exercise, applying the distributive property means multiplying '4x²' by both '3x' and '2' to find the resulting expression.
추천 영상:
04:15Multiply Polynomials Using the Distributive Property
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