Question

(x²-4x+10)×(x²-5x+2)

Answer 1

Ответ:

x^4-9x^3+32x^2-58x+20

Объяснение:

x^2*(x^2-5x+2)-4x*(x^2-5x+2)+10*(x^2-5x+2)=

=x^4-5x^3+2x^2-4x^3+20x^2-8x+10x^2-50x+20=x^4-9x^3+32x^2-58x+20

Answer 2

To answer your question in detail, I will use the distributive property to multiply the two polynomials. The distributive property states that a(b + c) = ab + ac for any numbers a, b, and c. I will apply this property to each term of the first polynomial and then simplify the result by combining like terms. Here are the steps:

(x² - 4x + 10) × (x² - 5x + 2) = x²(x² - 5x + 2) - 4x(x² - 5x + 2) + 10(x² - 5x + 2) // Apply the distributive property to each term of the first polynomial = x⁴ - 5x³ + 2x² - 4x³ + 20x² - 8x + 10x² - 50x + 20 // Apply the distributive property again to each term of the second polynomial = x⁴ - 9x³ + 32x² - 58x + 20 // Combine like terms by adding or subtracting the coefficients

Therefore, the answer is x⁴ - 9x³ + 32x² - 58x + 20.

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