Question

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divide 44(x⁴-5x³-24x²) by 11x(x-8)​

Answer 1

$\huge{\underline{\mathtt{\red{q}\pink{u}\green{e}\blue{s}\purple{t}\orange{i}\blue{o}\purple{n}}}}$

divide 44(x⁴-5x³-24x²) by 11x(x-8)

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44(x⁴-5x³-24x²)=2×2×11×x²(x²-5x-24)

(taking common factor x² out of the bracket)

=2×2×11×x²(x²-8x+3x-24)

=2×2×11×x²[x(x-8)+3(x-8)]

=2×2×11×x²(x+3)(x-8)

therefore, 44(x⁴-5x³-24x²)÷11x(x-8)

=2×2×11×x×(x+3)×(x-8)/11×x×(x-8)

=2×2×x(x+3)=4x(x+3) ANSWER....

Answer 2

$\huge{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}$

44(x⁴-5x³-24x²)=2×2×11×x²(x²-5x-24)

(taking common factor x² out of the bracket)

=2×2×11×x²(x²-8x+3x-24)

=2×2×11×x²[x(x-8)+3(x-8)]

=2×2×11×x²(x+3)(x-8)

therefore, 44(x⁴-5x³-24x²)÷11x(x-8)

=2×2×11×x×(x+3)×(x-8)/11×x×(x-8)

=2×2×x(x+3)=4x(x+3) ....ANSWER....