Question

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Answer 1

..Question..

Factorise the following :

➪ x² - 10x + 25

..Answer..

☯︎ To use : Midterm Splitting ✓

ㅤㅤㅤ➪ x² - 10x + 25

ㅤㅤㅤ➪ x² - ( 5 + 5 ) x + 25

ㅤㅤㅤ➪ x² - 5x - 5x + 25

ㅤㅤㅤ➪ x ( x - 5 ) - 5 ( x - 5 )

ㅤㅤㅤ➪ ( x - 5 ) ( x - 5 )

ㅤㅤㅤ

•°• The factors are ( x - 5 ) and ( x - 5 )

Zeroes of the factors are -

ㅤㅤ➪ ( x - 5 ) = 0ㅤ,ㅤ➪ ( x - 5 ) = 0

ㅤㅤ➪ x - 5 = 0ㅤㅤ ,ㅤ➪ x - 5 = 0

ㅤㅤ➪ x = 0 + 5ㅤㅤ,ㅤ➪ x = 0 + 5

ㅤㅤ➪ x = 5ㅤㅤㅤ ,ㅤ➪ x = 5

°•° Both are in positive numbers

•°• ( x - 5 ) is a factor of x² - 10x + 25

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More to know :

• factors can not be negative
• factors can not be in fraction
• In factorisation we do not need R.H.S
• FORMULAS :
• ( a + b )²
• a² + 2ab + b²
• ( a - b )²
• a² - 2ab + b²
• a² - b²
• ( a + b ) ( a - b )

ㅤㅤㅤ꧁ ʙʀᴀɪɴʟʏ×ᴋɪᴋɪ ꧂

ㅤㅤㅤ