Find the product of the roots of the quadratic equation 2x² + 7 - 4 = 0 .
Answers
Answer:
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
(2x2 - 7x) - 4 = 0
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 2x2-7x-4
The first term is, 2x2 its coefficient is 2 .
The middle term is, -7x its coefficient is -7 .
The last term, "the constant", is -4
Step-1 : Multiply the coefficient of the first term by the constant 2 • -4 = -8
Step-2 : Find two factors of -8 whose sum equals the coefficient of the middle term, which is -7 .
-8 + 1 = -7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 1
2x2 - 8x + 1x - 4
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (x-4)
Add up the last 2 terms, pulling out common factors :
1 • (x-4)
Step-5 : Add up the four terms of step 4 :
(2x+1) • (x-4)
Which is the desired factorization