Question

Factorise x² +31x+150​

Answer 1

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Step-by-step explanation:

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Answer 2

Given:

• x² + 31x + 150

Solution:

$\implies$ x² + 31x + 150

We have to Find that two numbers whose products is 150 and Addition and substraction is 31.

so,

we have two numbers i.e.

25 and 6

:: Product of 25 and 6 $\implies$ 150

:: Sum of 25 and 6 $\implies$ 31

After putting values together;

$\implies$ x² + 31x + 150

$\implies$ x² + (25 + 6)x + 150 = 0

$\implies$ (x² + 25x) + (6x + 150) = 0

$\implies$ x(x + 25) + 6(x + 25) = 0

$\implies$ (x + 25) (x + 6) = 0

Hence,

• The Factorisation of x² + 31x + 150 is (x + 25) and (x + 6).

${\underline{\boxed{\tt\large\green{ Zeroes \ of \ polynomials :-}}}}$

• x + 25 = 0 $\implies$ 0 - 25 = -25

• x + 6 = 0 $\implies$ 0 - 6 = -6