Question

how to split the middle term of any polynomial
for Ex. x²-3x-10=0​

Answer 1

Step-by-step explanation:

1. Multiply the constant term and the coefficient of x² (according to given example, -10*1 = -10 )
2. Write all the multiples of -10; 1, 10, 2, 5.
3. Take two numbers such that if we multiply numbers, the number should be the product of constant term and coefficient of x² and if we add them, the number should be the coefficient of middle term(-3). i.e, the middle term should be splitted as -5x +2x.
4. Then we should take common.
5. Hence the process is as follows;

• x²-3x-10 = 0
• x²-5x+2x-10
• x(x-5)+2(x-5)
• (x-5)(x+2)

hope it helps you [and others too] :)