Question
In the product \( (3 x-2)(x+4)=3 x^{2}+10 x-8 \), the polynomials \( (3 x-2) \) and \( (x+4) \) are called \( \square \) of the polynomial \( 3 x^{2}+10 x-8 \)
Ask by Wilson Smith. in the United States
Jan 24,2025
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Answer
In the product \( (3x - 2)(x + 4) = 3x^2 + 10x - 8 \), the polynomials \( (3x - 2) \) and \( (x + 4) \) are called **factors** of the polynomial \( 3x^2 + 10x - 8 \).
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In the product \( (3 x-2)(x+4)=3 x^{2}+10 x-8 \), the polynomials \( (3 x-2) \) and \( (x+4) \) are called **factors** of the polynomial \( 3 x^{2}+10 x-8 \). Factors are the expressions that, when multiplied together, yield a specific polynomial. To check if these expressions are indeed factors, you can perform polynomial multiplication. Multiply \( 3x \) by \( x \) and \( 4 \), and don’t forget to combine like terms after distributing. Factors play a crucial role in simplifying complex polynomials and solving equations!
