Question

21x-29x^2-10=0 find by sPiltting the middle term

Answer 1

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant 21 • 10 = 210

Step-2 : Find two factors of 210 whose sum equals the coefficient of the middle term, which is -29 .

-210 + -1 = -211

-105 + -2 = -107

-70 + -3 = -73

-42 + -5 = -47

-35 + -6 = -41

-30 + -7 = -37

-21 + -10 = -31

-15 + -14 = -29 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and -14

21x2 - 15x - 14x - 10

Step-4 : Add up the first 2 terms, pulling out like factors :

3x • (7x-5)

Add up the last 2 terms, pulling out common factors :

2 • (7x-5)

Step-5 : Add up the four terms of step 4 :

(3x-2) • (7x-5)