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3 years ago

Which expression is the factorization of x2 + 10x + 212

Mathematics

2 answers:

Montano1993 [528]3 years ago

8 0

Answer:

The answer is option 1.

Step-by-step explanation:

Firstly, you have to elaborate the expression :

${x}^{2} + 10x + 21$

$= {x}^{2} + 3x + 7x + 21$

Next you have to take out the common factors and factorize it :

${x}^{2} + 3x + 7x + 21$

$= x(x + 3) + 7(x + 3)$

$= (x + 7)(x + 3)$

Licemer1 [7]3 years ago

8 0

The right answer is (X+3)(X+7)

Please see attached picture for full solution

Hope it helps

Good luck on your assignment

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blsea [12.9K]

Answer:

Step-by-step explanation:

Given the following statements

1. line RS || segment AB, ∠1=∠2

2. ∠B = ∠1

3. ∠A = ∠2

4. ∠A = ∠B

5. RA = RB

and the following reasons,

a) If lines ||, corresponding ∠'s are =

b) If two ∠'s of a triangle are =, sides opposite are =

b) If lines ||, alternate interior ∠'s =

c) Given

d) Substitution

we match the statements and the reasons to enable us prove the required proof.

Statement Reason

1. line RS || segment AB, ∠1=∠2 Given

2. ∠B = ∠1 If lines ||, corresponding ∠'s are =

3. ∠A = ∠2 If lines ||, alternate interior ∠'s =

4. ∠A = ∠B Substitution [because we are given that

∠1=∠2]

5. RA = RB If two ∠'s of a triangle are =, sides opposite are =

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