The factors of the given trinomial are (2x-3)(5x+1).
The given trinomial is 10x²-13x-3.
We need to factorise the given trinomial.
One of the methods used in factoring the quadratic equation is known as the splitting of terms. When we can’t square the first and the last term of the given quadratic expression then we can use another method to factorise the expression using the splitting of the middle term. Splitting of the middle term is that we have to rewrite the middle term of the quadratic expression as the sum or difference of the two terms. We have to split the middle term into two parts in terms of the sum or difference of the terms.
Factorising the given trinomial 10x²-13x-3 as follows:
10x²-15x+2x-3
⇒5x(2x-3)+1(2x-3)
⇒(2x-3)(5x+1)
Therefore, the factors of the given trinomial are (2x-3)(5x+1).
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