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finlep [7]
2 years ago
14

(_+10)(_+-1)= 11x^2+17x-10 in factored form

Mathematics
1 answer:
Sever21 [200]2 years ago
4 0

Answer:

The factored form will be:

11x^2+17x-10=\left(11x-5\right)\left(x+2\right)

Step-by-step explanation:

Given the expression

11x^2+17x-10

Breaking the expression into groups

=\left(11x^2-5x\right)+\left(22x-10\right)

  • factoring out x from 11x²-5x

11x²-5x = x(11-5)

  • factoring out 2 from 22x-10

22x-10 = 2(11x-5)

so the expression becomes

=x\left(11x-5\right)+2\left(11x-5\right)

factoring out common term 11x-5

=\left(11x-5\right)\left(x+2\right)

Therefore, the factored form will be:

11x^2+17x-10=\left(11x-5\right)\left(x+2\right)

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