Question

In the quadratic equation 5w²+9w-10=0 which of the following is the quadratic term

Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

(((5•(w2))+9w)-10)-(0-22w2) = 0

STEP

2

:

Equation at the end of step

2

:

((5w2 + 9w) - 10) - -22w2 = 0

STEP

3

:

Trying to factor by splitting the middle term

3.1 Factoring 9w2+9w-10

The first term is, 9w2 its coefficient is 9 .

The middle term is, +9w its coefficient is 9 .

The last term, "the constant", is -10

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 15

9w2 - 6w + 15w - 10

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

3w • (3w-2)

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

5 • (3w-2)

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

(3w+5) • (3w-2)

Which is the desired factorization

Equation at the end of step

3

:

(3w - 2) • (3w + 5) = 0

STEP

4

:

as many e