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2 years ago

5

12x^3+2x^2-30x-5 factoring

2 answers:

harkovskaia [24]2 years ago

8 0

<span><span>12<span>x3</span>+2<span>x2</span>−30x−5</span><span>12<span>x3</span>+2<span>x2</span>-30x-5</span></span>
Group the first two terms and the last two terms.<span><span><span>(12<span>x3</span>+2<span>x2</span>)</span>+<span>(−30x−5)</span></span><span><span>(12<span>x3</span>+2<span>x2</span>)</span>+<span>(-30x-5)</span></span></span>

Factor out the greatest common factor (GCF) from each group.<span><span>2<span>x2</span><span>(6x+1)</span>−5<span>(6x+1)</span></span><span>2<span>x2</span><span>(6x+1)</span>-5<span>(6x+1)</span></span></span>
Factor the polynomial by factoring out the greatest common factor, <span><span>6x+1</span><span>6x+1.</span></span><span><span><span>(6x+1)</span><span>(2<span>x2</span>−5)</span></span><span><span>(6x+1)</span><span>(2<span>x2</span>-5<span>)</span></span></span></span>

IRISSAK [1]2 years ago

5 0

${12x}^{3} + {2x}^{2} - 30x - 5 \\ = 2 {x}^{2} (6x + 1) - 5(6x + 1) \\ = (6x + 1)( {2x}^{2} - 5)$

Hope this helps. - M

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Step-by-step explanation:

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