factorise x²-14x+60
Answers
Answer:
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Step-by-step explanation:
x2-14x+60 Final result : x2 - 14x + 60
Step by step solution :Step 1 :Trying to factor by splitting the middle term
1.1 Factoring x2-14x+60
The first term is, x2 its coefficient is 1 .
The middle term is, -14x its coefficient is -14 .
The last term, "the constant", is +60
Step-1 : Multiply the coefficient of the first term by the constant 1 • 60 = 60
Step-2 : Find two factors of 60 whose sum equals the coefficient of the middle term, which is -14 .
-60 + -1 = -61 -30 + -2 = -32 -20 + -3 = -23 -15 + -4 = -19 -12 + -5 = -17 -10 + -6 = -16
For tidiness, printing of 18 lines which failed to find two such factors, was suppressed
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result : x2 - 14x + 60