Question

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

Polynomial factorization
ANSWERED
asked 2021-05-12
Factor the polynomial. If the polynomial cannot be factored state that it is prime.
\(12n^{2}+7n-10\)

Answers (1)

2021-05-13

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

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