Question

Hello guys
pls answer this
the best answer will be marked as brainlist answer
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factorise the polynomial in the image through synthetic division

Answer 1

Answer:

(x + 2)(x - 4)(2x - 3)

Step-by-step explanation:

Given Equation is 2x³ - 7x ² - 10x + 24

It can be written as,

⇒ 2x³ + 4x² - 11x² - 22x + 12x + 24

⇒ 2x²(x + 2) - 11x(x + 2) + 12(x + 2)

⇒ (x + 2)(2x² - 11x + 12)

⇒ (x + 2)(2x² - 3x - 8x + 12)

⇒ (x + 2)[x(2x - 3) - 4(2x - 3)]

⇒ (x + 2)(x - 4)(2x - 3).

Hope it helps!

Answer 2

Step-by-step explanation:

2x³ - 7x ² - 10x + 24

2x³ + 4x² - 11x² - 22x + 12x + 24

2x²(x + 2) - 11x(x + 2) + 12(x + 2)

(x + 2)(2x² - 11x + 12)

(x + 2)(2x² - 3x - 8x + 12)

(x + 2)[x(2x - 3) - 4(2x - 3)]

(x + 2)(x - 4)(2x - 3).