Factor the polynomial completely. If the polynomial cannot be factored,

kuvitia9f

kuvitia9f

Answered question

2021-12-12

Factor the polynomial completely. If the polynomial cannot be factored, write "prime."
x23x54

Answer & Explanation

autormtak0w

autormtak0w

Beginner2021-12-13Added 31 answers

Step 1
Compute the factors of the trinomial x23x54 as follows.
x23x54
x2+6x9x54   [6×(9)=546x+(9x)=3x]
x(x+6)-9(x+6) [Factor out the common term x from x2 and 6x and -9 from -9x and -54]
(x+6)(x-9) [Factor out the common term (x+6)]
Step 2
From the above calculation, it is observed that the factor of the trinomial x23x54 is (x + 6)(x - 9).
Check whether the obtained result is true or not multiplying the obtained factors.
(x+6)(x9)=x29x+6x54 [ By FOIL method]
=x23x54
Hence, the factors of the trinomial
x23x54 is (x+6)(x-9).
Step 3
Answer:
The factors of the trinomial x23x54 is (x + 6)(x - 9).

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