Question

If the factors of 5x2-18x+9 are (ax +b) and (x+b) then value of a and b is:

Answer 1

Answer:

The first term is, 5x2 its coefficient is 5 .

The middle term is, -18x its coefficient is -18 .

The last term, "the constant", is +9

Step-1 : Multiply the coefficient of the first term by the constant 5 • 9 = 45

Step-2 : Find two factors of 45 whose sum equals the coefficient of the middle term, which is -18 .

-45 + -1 = -46

-15 + -3 = -18 That's it

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

5x2 - 15x - 3x - 9

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

5x • (x-3)

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

3 • (x-3)

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

(5x-3) • (x-3)

Which is the desired factorization

Answer 2

Answer:

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