Factor completely. -4x^(4)+48x^(3)+52x^(2) Answer:

Identify Common Factors: First, we look for common factors in all terms of the polynomial -4x^(4)+48x^(3)+52x^(2). We can see that each term has a factor of 4x^2. Let's factor out 4x^2 from each term. -4x^(4)+48x^(3)+52x^(2) = 4x^2(-x^2 + 12x + 13)Factor Out 4x^2: Now, we need to factor the quadratic equation inside the parentheses, which is -x^2 + 12x + 13. We look for two numbers that multiply to -1*13=-13 and add up to 12. The numbers that satisfy these conditions are 13 and -1. So, we can write the quadratic as (-x + 13)(x + 1).Factor Quadratic Equation: Now we combine the factored out part with the factored quadratic. The complete factorization of the polynomial is 4x^2(-x + 13)(x + 1).

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Factor completely.

-4x^(4)+48x^(3)+52x^(2)
Answer:

Factor completely. $\newline$ $-4 x^{4}+48 x^{3}+52 x^{2}$ $\newline$ Answer:

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Q. Factor completely.

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-4 x^{4}+48 x^{3}+52 x^{2}

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Answer:

Identify Common Factors: First, we look for common factors in all terms of the polynomial $-4x^{4}+48x^{3}+52x^{2}$ . $\newline$ We can see that each term has a factor of $4x^2$ . $\newline$ Let's factor out $4x^2$ from each term. $\newline$ $-4x^{4}+48x^{3}+52x^{2} = 4x^2(-x^2 + 12x + 13)$
Factor Out $4x^2$ : Now, we need to factor the quadratic equation inside the parentheses, which is $-x^2 + 12x + 13$ . We look for two numbers that multiply to $-1\times13=-13$ and add up to $12$ . The numbers that satisfy these conditions are $13$ and $-1$ . So, we can write the quadratic as $(-x + 13)(x + 1)$ .
Factor Quadratic Equation: Now we combine the factored out part with the factored quadratic. $\newline$ The complete factorization of the polynomial is $4x^2(-x + 13)(x + 1)$ .