Question

find factors of 9q^2-45pq+8q-40p

pls ans fast​​

Answer 1

Answer:

Factoring 9p2-42p+40

The first term is, 9p2 its coefficient is 9 .

The middle term is, -42p its coefficient is -42 .

The last term, "the constant", is +40

Step-1 : Multiply the coefficient of the first term by the constant 9 • 40 = 360

Step-2 : Find two factors of 360 whose sum equals the coefficient of the middle term, which is -42 .

-360 + -1 = -361

-180 + -2 = -182

-120 + -3 = -123

-90 + -4 = -94

-72 + -5 = -77

-60 + -6 = -66

-45 + -8 = -53

-40 + -9 = -49

-36 + -10 = -46

-30 + -12 = -42 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -30 and -12

9p2 - 30p - 12p - 40

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

3p • (3p-10)

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

4 • (3p-10)

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

(3p-4) • (3p-10)

Which is the desired factorization

Answer 2

Step-by-step explanation:

${9q }^{2} - 45pq + 8q - 40p$

${9q}^{2} + 8q - 45pq + 40p$

$q(9q + 8) - 5q(9p + 8)$

$(9q + 8)(q - 5q)$