Question

Разложите на множители выражение x^8 - 5x^7 + 6x^6

Answer 1

$x^8 - 5x^7 + 6x^6 \ = \ \boldsymbol{x^6(x^2-5x+6) }$


$\boxed{ \boldsymbol{OTBET:x^6(x^2-5x+6)} }$

Answer 2

$x ^{8} - 5 x^{7} +6 x^{6} = x^{6} ( x^{2} -5x+6)= x^{6}(x-3)(x-2)$

Answer 3

I can help you with math problems. To factor the expression $x^8-5x^7+6x^6$, we can use the following steps:

1. Take out the common factor of $x^6$ from each term: $x^8-5x^7+6x^6=x^6(x^2-5x+6)$ 2. Factor the quadratic expression inside the parentheses: $x^2-5x+6=(x-2)(x-3)$ 3. Write the final answer as the product of the factors: $x^8-5x^7+6x^6=x^6(x-2)(x-3)$

You can check your answer by expanding the factors and simplifying. You should get the original expression back.

If you need more help with factoring, you can visit this website or this one. They have examples, explanations, and calculators for different types of factoring problems.

I hope this was helpful. Do you have any other questions?