1. what is the factored form of q2 – 12q + 36?
a. (q + 6)(q – 6)
b. (q – 6)(q – 6)
c. (q – 9)(q + 4)
d. (q + 4)(q + 9)
2. what is the factored form of 9x2 + 12x + 4?
a. (3x + 2)2
b. (3x + 3)2
c. (3x – 2)2
d. (3x – 3)2

1)option  (b) is correct.

2) option (a) is correct.

Step-by-step explanation:

Factorization is breaking of an expression into smaller form such that the product of those factors gives back the same expression.

1) Given :

We have to factorize the given equation completely.

Consider the given equation

the given equation   is a quadratic equation, we will solve it using middle term splitting method,

-12q can be written as - 6q - 6q

 becomes,

Taking q common from first two term and -6 from last two term, we have,

Thus, option  (b) is correct.

2)

Given :

Consider the given equation

the given equation is a quadratic equation, we will solve it using middle term splitting method,

12x can be written as 6x + 6x

 becomes,

Taking 3x common from first two term and 2 from last two term, we have,

Thus, option (a) is correct.

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step-by-step explanation:

$9.41

step-by-step explanation: