Question

Which expression is the factored form of x2 – 7x + 10? (x + 3)(x + 4) (x – 3)(x – 4) (x – 2)(x – 5) (x + 2)(x + 5)

Answer 1

In order to solve this, we can multiply out the answer choices and check if they are correct by using FOIL. A would be x^2 + 7x + 12. B would be x^2 - 7x + 12. C would be x^2 - 7x + 10. D would be x^2 + 7x + 10. The answer choice that matches the question is C. (x - 2)(x - 5).

Hope this helps!

Answer 2

The factored form of x² – 7x + 10 is (x-2)(x - 5)

A polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

Polynomial based on degree are linear, quadratic, cubic, etc.

Given the expression x² – 7x + 10:

= x² – 7x + 10

= x² -5x - 2x + 10

= x(x - 5) - 2(x - 5)

= (x-2)(x - 5)

Hence the factored form of x² – 7x + 10 is (x-2)(x - 5)

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