Question

factorisation
o solve x²+x-20=0
method.
no
by​

Answer 1

Answer:

There can be two possible factors of the polynomial namely, (x + 5) and (x - 4).

Hence, there can be two solutions of the polynomial namely, - 5 and 4.

Step-by-step explanation:

• Factorisation is a method of presenting an expression in terms of the product of its factors.

x² + x - 20 = 0

=> x² + 5x - 4x - 20 = 0

=> x ( x + 5 ) - 4 ( x + 5 ) = 0

=> ( x + 5 ) ( x - 4 ) = 0

According to the zero product rule,

x + 5 = 0 x - 4 = 0

x = - 5 x = 4

Hence,

x = - 5, 4

Answer 2

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To Solve:

• Factorize: x² + x - 20

Solⁿ:

• For factorizing you have to multiply the a and c term
• then make the middle term split into their product
• and it itself after adding or subtracting , becomes itself.

So, here is the process ↓

${ \sf{{x}^{2} + x - 20 = 0}} \\ \\ { \sf{{x}^{2} - 5x + 4x - 20 = 0}} \\ \\ { \sf{(x - 5) + 4(x - 5) = 0}}\\ \\{ \sf{ (x - 5)(x + 4) = 0}} \\ \\{ \sf{ they \: \: are \: \: the \: \: factors. }}\\ \\ { \sf{the \: \: zeroes \: \: are : } }\\ \\ {\sf{(x - 5) = + 5}} \\ { \sf{(x + 4) = - 4}}$

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