Factor the trinomial

x^2 − 7x + 10

What is the factored form of the trinomial, and why?

A. (x−2)(x−5). The product of –2 and –5 is –10, and their sum is 7.

B. (x−2)(x−5). The product of –2 and –5 is 10, and their sum is –7.

C. (x+2)(x+5). The product of 2 and 5 is 10, and their sum is 7.

D. (x+2)(x+5). The product of 2 and 5 is 10, and their sum is –7.

Lets get started :)

x² - 7x + 10

We are going to find something in this form:
↓
( )( )

x² is nothing but x multiplied by itself
↓
(x )(x )

-7x + 10 follows
since the sum is negative and the product is positive then the signs inside the bracket will be as follows
↓
( x - )( x - )

-7x should be the sum and 10 should be the product
multiples of 10 = 1 x 10 = 2 x 5 = -1 x -10 = -2 x -5
↓ ↓ ↓ ↓
1 + 10 = 11 2 + 5 = 7 -1 - 10 = -11 = -2 -5 = -7

So the sum of -2 and -5 is -7 and the product of -2 and -5 is 10
↓
( x - 2 )( x - 5 )

Your final answer will be option B

pleszach pleszach · Answer 2 · 2020-10-19T16:16:15+02:00

pleszach pleszach

19-10-2020

Answer:

B. (x−2)(x−5). The product of –2 and –5 is 10, and their sum is –7.

Step-by-step explanation:

I just did it and it’s right apex verified

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