Question

x2 - 12x + 35 = splitting the middle term
A. (x-3)(x-4)
B. (x-5)(x-7)
C. (x-5)(x-4)
D. (x-3)(x+4)​

Answer 1

Answer:

Splitting the middle term :

Given;

$\longrightarrow\sf x^2 -12x + 35$

$\longrightarrow\sf x^2 -7x - 5x + 35$

By taking common from both the pair :

$\longrightarrow\sf x(x - 7) - 5 (x - 7)$

Now,

$\longrightarrow\sf (x - 7)(x - 5)$

OR,

$\longrightarrow\underline{ \boxed{ \bold{ (x - 5)(x - 7)}}}$

Hence, option B) (x - 5) (x - 7) is the correct answer.

Answer 2

Question:

• x² - 12x + 35 = splitting the middle term.

Answer:

• x² - 12x + 35

Now Split the middle term we get,

• x² - 7x - 5x + 35

Now By taking common in first two and last two terms.

• x ( x - 7 ) - 5 ( x - 7 )
• ( x - 5 ) ( x - 7 )

So the option.B is correct.

Your answer is ( x - 5 ) ( x - 7 )

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