Question

X square + root 2 x minus 24

Answer 1

${x}^{2} + \sqrt{2} x - 24 \\ \\ = {x}^{2} + 4\sqrt{2} x - 3 \sqrt{2}x - 24 \\ \\ = x(x + 4 \sqrt{2} ) - 3 \sqrt{2} (x + 4 \sqrt{2} ) \\ \\ = (x + 4 \sqrt{2} )(x - 3 \sqrt{2} )$

Answer 2

Concept:

To solve this answer we need the concept of algebra, polynomials and factorization

Algebra is the branch of mathematics which converts problems into mathematical expressions to solve them.

Polynomials are expressions with unknowns and constants as coefficients.

Factorization is the process of breaking down polynomials into more simplified forms.

Given:

We are given the polynomial: x²+√2x-24

To find:

We have to factorise the given polynomial.

Solution:

The polynomial is given as:

x²+√2x-24

=x²+4√2x-3√2x-24 (splitting the term with x)

=x(x+4√2)-3√2(x+4√2) (Taking common)

=(x+4√2)(x-3√2)

Hence, the factorized form is (x+4√2)(x-3√2)