Question

Q.1 Factorize the following by splitting the middle term: 4x2 - 13x + 10

Answer 1

4x2 - 8x - 5x + 10

4x( x - 2) - 5(x-2)

(4x-5) (x-2)

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Answer 2

Question :-

Factorize the following by splitting the middle term

→ 4x² - 13x + 10

Solution :-

• ★ Using Splitting method ★ •

→ 4x² - 13x + 10 = 0

→ 4x² - 8x - 5x + 10 = 0

→ 4x (x-2) -5 (x-2) = 0

→ (4x-5) (x-2) = 0

→ 4x - 5 = 0

→ 4x = 5

→ x = 5/4

• either

→ x - 2 = 0

→ x = 2

Hence :-

• The factor of given polynomial are x = 5/4 , x = 2