<span><span>5b</span></span>²<span><span>-4b+6</span> </span>Final result :<span> 5b</span>²<span> - 4b + 6 </span>
Step by step solution :<span>Step 1 :</span>
<span>Equation at the end of step 1 :</span><span> (5b</span>²<span> - 4b) + 6
</span><span>Step 2 :</span>Trying to factor by splitting the middle term
<span> 2.1 </span> Factoring <span> 5b</span>²-4b+6
The first term is, <span> <span>5b</span></span>² its coefficient is 5
The middle term is, -4b its coefficient is -4
The last term, "the constant", is <span> +6 </span>
Step-1: Multiply the coefficient of the first term by the constant <span> <span> 5</span> • 6 = 30</span>
Step-2: Find two factors of 30 whose sum equals the coefficient of the middle term, which is <span> -4 </span>
Observation: No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :<span>
5b</span>
²<span>
- 4b + 6 </span><span>
</span>
