The completely factored form of the given expression 3x²−17x−28 is (3x + 4)(x − 7). The correct option is B.
A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The completely factored form of the given expression 3x²−17x−28 can be done as shown below,
3x² − 17x − 28
= 3x² − 17x − 28
Break the middle terms into two terms such that the sum of the two terms is −17, while the product of the two terms is equal to the product of 3 and −28.
= 3x² − 21x + 4x − 28
Take 3x as the common term from the first two terms, and 4 as common from the last two terms
= 3x(x − 7) + 4(x − 7)
Take (x − 7) as the common term from the two terms
= (3x + 4)(x − 7)
Hence, the completely factored form of the given expression 3x²−17x−28 is (3x + 4)(x − 7).
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