What is the following shows the factors of 5x^2+17x+6
2 answers:
<span><span>(5x+2)</span><span>(x+3)</span></span>
Explanation:
Find factors of <span>5and 6</span> whose products ADD to 17
It might take a bit of trial and error to find the correct combination of factors.
<span><span>........</span>5 and 6</span> <span><span>.......</span>↓ ↓</span> <span><span>........</span>5 2 →1×2=2</span> <span><span>........</span>1 3 →5×3=<span>15<span>−−</span></span></span> <span><span>...............................................</span><span>17</span></span>
Δ=17^2-4×5×6=0 289-120=169 x1,2= - 17/10 +or- 13/10 x1,2=-30/10= - 3 Or x1,2=-4/10 = - 2/5
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