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lukranit [14]
3 years ago
6

BRAINLIEST AND LOTTA POINTS !!

Mathematics
2 answers:
Nadya [2.5K]3 years ago
7 0

Hello again

1. Factor the Polynomial.

4x2(x−4)(x−3)

2. Factor by grouping.

(x−3)(5x+2)

I hope this helps! Brainliest please?? :)

DIA [1.3K]3 years ago
6 0

Answer:

\large\boxed{1.\ 4x^4 - 28x^3 + 48x^2=4x^2(x-4)(x-3)}\\\boxed{5x^2 - 13x - 6=(x-3)(5x+2)}

Step-by-step explanation:

1.\\4x^4 - 28x^3 + 48x^2=4x^2(x^2-7x+12)=4x^2(x^2-4x-3x+12)\\\\=4x^2\bigg(x(x-4)-3(x-4)\bigg)=4x^2(x-4)(x-3)

2.\\5x^2 - 13x - 6 =5x^2-15x+2x-6=5x(x-3)+2(x-3)\\\\=(x-3)(5x+2)

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<h3>Need to Do :- </h3>
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\red{\frak{Given}}\Bigg\{ \sf \dfrac{x - 1}{ {x}^{2} - 3x + 2} + \dfrac{x - 2}{ {x}^{2} - 5x + 6 } + \dfrac{x - 5}{ {x}^{2} - 8x + 15 }

\rule{200}4

\sf\longrightarrow \small  \dfrac{x - 1}{ {x}^{2} - 3x + 2} + \dfrac{x - 2}{ {x}^{2} - 5x + 6 } + \dfrac{x - 5}{ {x}^{2} - 8x + 15 } \\\\\\\sf\longrightarrow \small  \dfrac{ x-1}{x^2-x -2x +2} +\dfrac{ x-2}{x^2-3x-2x+6} +\dfrac{ x -5}{x^2-5x -3x + 15 } \\\\\\\sf\longrightarrow\small \dfrac{ x -1}{ x ( x - 1) -2(x-1) } +\dfrac{ x-2}{x ( x -3) -2( x -3)} +\dfrac{ x -5}{ x(x-5) -3( x -5) }  \\\\\\\sf\longrightarrow \small \dfrac{ x -1}{ ( x-2) (x-1) } +\dfrac{ x-2}{( x -2)(x-3) } +\dfrac{ x -5}{ (x-3)(x-5)  } \\\\\\\sf\longrightarrow\small \dfrac{ 1}{ x-2} +\dfrac{ 1}{ x -3} +\dfrac{1}{ x -3}   \\\\\\\sf\longrightarrow   \small  \dfrac{1}{x-2} +\dfrac{2}{x-3}  \\\\\\\sf\longrightarrow   \small \dfrac{ x-3 +2(x-2)}{ ( x -3)(x-2) }  \\\\\\\sf\longrightarrow   \small \dfrac{ x - 3 +2x -4 }{ (x-3)(x-2) }     \\\\\\\sf\longrightarrow   \underset{\blue{\sf Required \ Answer  }}{\underbrace{\boxed{\pink{\frak{  \dfrac{ 3x -7}{ ( x -2)(x-3) } }}}}}

\rule{200}4

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