Question

x^4 + 5x^3 - 7x^2 - 41x - 30 factorise​

Answer 1

Answer :

$x ^ { 4 } +5x ^ { 3 } -7x ^ { 2 } -41x-30$

$\left(x+5\right)\left(x^{3}-7x-6\right)$

$\left(x-3\right)\left(x^{2}+3x+2\right)$

• a+b=3

• ab=1×2=2

And

• a=1

• b=2

$\left(x^{2}+x\right)+\left(2x+2\right)$

$x\left(x+1\right)+2\left(x+1\right)$

$\left(x+1\right)\left(x+2\right)$

$\left(x-3\right)\left(x+1\right)\left(x+2\right)\left(x+5\right)$

•°• The factors are (x−3)(x+1)(x+2)(x+5).

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