Question

x²+23x+42 middle term splitting​

Answer 1

Answer:

The answer is  (x+21)(x+2)

Step-by-step explanation:

x²+23x+42

= x²+(21+2)x+42

= x²+21x+2x+42

= x(x+21)+2(x+21)

= (x+21)(x+2)

Answer 2

Answer:

Hence factors of the given expression will be (X+2)(X+21)

Step-by-step explanation:

In context to questions asked

We have to determine the factor of given expression by splitting the middle terms

As per questions

We have

${x}^{2} + 23 x + 42$

So for splitting the middle terms,

We will find two such number which when added or subtracted together gives result 23 and when multiplied gives result 42

So, two such numbers will be 21x and 2x

So we can rewrite it as,

${x}^{2} + 23 x + 42 \\ = > {x}^{2} + 21x + 2x + 42 = 0 \\ = > x(x + 21) + 2(x + 21) = 0 \\ = > (x + 2)(x + 21) = 0$