Math, asked by Lucky17591, 10 months ago

Factor 15x3 – 5x2 + 6x – 2 by grouping. What is the resulting expression?

Answers

Answered by sharonr
2

The resulting expression of 15 x^{3}-5 x^{2}+6 x-2 is (3 x-1)\left(5 x^{2}+2\right)

Solution:

Given, expression is 15 x^{3}-5 x^{2}+6 x-2

We have to factor the given expression by grouping

\text { Now, } 15 x^{3}-5 x^{2}+6 x-2

Making the expression into two groups,

=\left(15 x^{3}-5 x^{2}\right)+(6 x-2)  

Taking the common terms out,

=5 x^{2}(3 x-1)+2(3 x-1)

Taking (3x – 1) as common,

=(3 x-1)\left(5 x^{2}+2\right)

As we can’t factorize further, the above expression is final

Hence, the resulting expression is =(3 x-1)\left(5 x^{2}+2\right)

Answered by mysticd
2

Answer:

 \red { Factors \: of \: 15x^{3}-5x^{2} +6x-2}

 \green {= (3x-1)(5x^{2} + 2)}

Step-by-step explanation:

 Given \: polynomial : 15x^{3}-5x^{2} +6x-2

 =  5x^{2}\times 3x - 5x^{2} \times 1+ 2\times 3x - 2\times 1 \\= 5x^{2} (3x-1) + 2(3x-1)\\= (3x-1)(5x^{2} + 2)

Therefore.,

 \red { Factors \: of \: 15x^{3}-5x^{2} +6x-2}

 \green {= (3x-1)(5x^{2} + 2)}

•••♪

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