Factor the polynomial. If the polynomial cannot be factored state that it is prime. 12n^{2}+7n-10

Joni Kenny

Joni Kenny

Answered question

2021-05-12

Factor the polynomial. If the polynomial cannot be factored state that it is prime.
12n2+7n10

Answer & Explanation

SoosteethicU

SoosteethicU

Skilled2021-05-13Added 102 answers

Step 1
To Determine: Factor the polynomial. If the polynomial cannot be factored state that it is prime.
Given:we have a polynomial 12n2+7n10
Explanation: we have to find such number like on multiplying we get middle term and an adding or subtracting
we get 120.
a+orb=7
a×b=12×10=120
so we have
158=7
15×8=120
we can writ down the polynomial as follows
12n28n+15n10
Step 2
Now taking common and solving we get
(12n28n)+(15n10)
4n(3n2)+5(3n10)
(4n+5)(3n10)
so we have two factors.

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