Factorize:
x²+5√5x+30
Answers
Answered by
2
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
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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.
Given : x² + 5√5x + 30
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)
Hence, the factorisation of x² + 5√5x + 30 is (x - 5√2) (x + 3√2)
HOPE THIS ANSWER WILL HELP YOU…..
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