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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)

Respuesta :

MrGumby

Answer:

The correct factored form is (x -2)(x - 5)

Step-by-step explanation:

When looking for the numbers to go in the parenthesis, find numbers that multiply to the final term and add up to the middle term. To find these, list out the factors of 10.

1 * 10

-1 * -10

2 * 5

-2 * -5

As you can see, -2 and -5 add up to -7. So we select these to go in the parenthesis with x.

(x - 2)(x - 5)

oladayoademosu

The expression that is the factored form of x² - 7x + 10 is (x - 2)(x - 5)

To get the factored form, we need to know what factorization is.

What is factorization?

This is the breaking down of an expression into its simpler form.

Now, to express x² - 7x + 10 in factored form, we need to find the factors of 10x² that will sum up to -7x.

  • The factors of 10x² are ±1x and ±10x, ±2x and ±5x.
  • So, the factors of 10x² that will sum up to -7x are -2x and 5x.

So, in the expression, we replace -7x with -2x - 5x.

Factorizing the expression

So, x² - 7x + 10 = x² - 2x - 5x + 10

Factorizing, we have

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

= (x - 2)(x - 5)

So, the expression that is the factored form of x² - 7x + 10 is (x - 2)(x - 5)

Learn more about factored form here:

https://brainly.com/question/3024511

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