Find the greatest common factor. 4x^2, 10x^2 Write your answer as a constant times a product of single variables raised to exponents. ______

Factorization of 4x^2: First find the complete factorization of 4x^2. 4 = 2 * 2 x^2 = x * x 4x^2 = 2 * 2 * x * xFactorization of 10x^2: Now, find the complete factorization of 10x^2. 10 = 2 * 5 x^2 = x * x 10x^2 = 2 * 5 * x * xCommon Factor of 4x^2 and 10x^2: We found: 4x^2 = 2 * 2 * x * x 10x^2 = 2 * 5 * x * x Find the greatest common factor of 4x^2 and 10x^2. Common factors are 2, x, and x. 2 * x * x = 2x^2 Greatest common factor: 2x^2

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Math Problems

Algebra 1

GCF of monomials

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Q. Find the greatest common factor.

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4x^2, 10x^2

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Write your answer as a constant times a product of single variables raised to exponents.

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______

Factorization of $4x^2$ : First find the complete factorization of $4x^2$ . $\newline$ $4 = 2 \times 2$ $\newline$ $x^2 = x \times x$ $\newline$ $4x^2 = 2 \times 2 \times x \times x$
Factorization of $10x^2$ : Now, find the complete factorization of $10x^2$ . $\newline$ $10 = 2 \times 5$ $\newline$ $x^2 = x \times x$ $\newline$ $10x^2 = 2 \times 5 \times x \times x$
Common Factor of $4x^2$ and $10x^2$ : We found: $\newline$ $4x^2 = 2 \times 2 \times x \times x$ $\newline$ $10x^2 = 2 \times 5 \times x \times x$ $\newline$ Find the greatest common factor of $4x^2$ and $10x^2$ . $\newline$ Common factors are $2$ , $x$ , and $x$ . $\newline$ $2 \times x \times x = 2x^2$ $\newline$ Greatest common factor: $10x^2$ $0$