An expression is given as 22(x' x-20x)
Statement 1: Vinod claims that when the expression is divided by 11x2(x + 4
we get 2(x - 5).
Statement2: Varun claims that when the expression is divided by 11x(x+4)
we get 2x(x+5).
Who is/are correct?
Answers
Answer:
A is the best answer please mark me as brainlist
Given : Expression 22(x⁴ - x³ - 20x²)
Statement 1: "Vinod claims that when the expression is divided by 11x²(x + 4)
we get 2(x - 5)"
Statement2: "Varun claims that when the expression is divided by 11x(x+4)
we get 2x(x+5)"
To Find : Who is/are correct ?
Solution :
22(x⁴ - x³ - 20x²)
Taking x² common
= 22x² (x² - x - 20)
Using middle term split
= 22x²(x² - 5x + 4x - 20)
= 22x² ( x(x - 5) + 4(x - 5))
= 22x² (x - 5)(x + 4)
= 2 * 11x²(x - 5)(x + 4)
2(x - 5) 11x²(x + 4)
divided by 11x²(x + 4)
= 2 (x - 5) Hence Vinod claim is correct
2(x - 5) 11x²(x + 4)
= 2(x - 5)11 xx(x + 4)
= 2x(x - 5) 11x(x + 4)
divided by 11x(x+4)
= 2x(x-5) Hence Varun claim is not correct
∵ 2x(x-5) ≠ 2x(x+5)
Hence only Vinod is correct answer
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