Question

Factor 7√2k- 10k -4√2 middle term splitting

Answer 1

Answer:

• (k - √2)(7√2k + 4)

• k = √2 , -2√2/7

Solution:

Here,

The given quadratic polynomial is

7√2k² - 10k - 4√2 .

We need to factorize the given quadratic polynomial using middle term splitting method .

Thus,

Here we go ↓

=> 7√2k²- 10k - 4√2

=> 7√2k² - 14k + 4k - 4√2

=> 7√2k(k - √2) + 4(k - √2)

=> (k - √2)(7√2k + 4)

Hence,

The factorized polynomial is ;

(k - √2)(7√2k + 4)

Also,

For the values of k , we have ;

=> 7√2k²- 10k - 4√2 = 0

=> (k - √2)(7√2k + 4) = 0

=> k = √2 , -4/7√2

=> k = √2 , -2√2/7

Hence,

k = √2 , -2√2/7