Math, asked by luthra3068, 9 months ago

Factorize:
x²+5√5x+30

Answers

Answered by jaygorade1

Step-by-step explanation:

X^2 + 5\|5x +30

=x^2 + 2\|5x + 3\|5x +30

=x(x+2\|5) + 3(\|5 + 10)

=(x+3)(x+2\|5)(\|5+10)

Answered by nikitasingh79

Concept :

Here we factorise it by splitting the middle term.

To factorise quadratic polynomials of the type ax² + bx + c by middle term splitting ,write b as the sum of two numbers whose product is ac.
To factorise ax² + bx - c & ax²- bx - c , write b as the difference of two numbers whose product is - ac.

x² + 5√5x + 30 = x²- 5√2x + 3√2x - 30

= x(x - 5√2) + 3√2 (x - 5√2)

= (x - 5√2) (x + 3√2)

x² + 5√5x + 30 = (x - 5√2) (x + 3√2)

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