Question

$7 \sqrt{2x { }^{2} } - 10x - 4 \sqrt{2}$
​

Answer 1

Answer:

Factorisation of the quadratic polynomial using middle term splitting method:

The given quadratic polynomial is;

7√2x^2 - 10x - 4√2

Factorisation:

=> 7√2x^2 - 10x - 4√2

=> 7√2x^2 - 14x + 4x - 4√2

=> 7√2x(x - √2) + 4(x - √2)

=> (x - √2)(7√2x +4)

Hence, the factorised form of the given polynomial is : (x - √2)(7√2x +4)

Moreover, we can find the roots of the given polynomial by equating it to zero.

Thus, we have;

=> (x - √2)(7√2x +4) = 0

=> x = √2 , -4/7√2

Hence, the roots of the given quadratic polynomial are: √2 , -4/7√2