Question

Antonia is factoring the polynomial, which has four terms. 7x3 – 21x2 + 5x – 15 7x2(x – 3) + 5(x –3) Which is the completely factored form of her polynomial?

Answer 1

Factoring out (x-3), we get (7x^2+5) (x-3). That is your answer, I hope this helps :).

Answer 2

The given polynomial is :

`7 x^3-21 x^2+ 5 x - 15`

Factorizing it by taking common factor among two terms

→7 x²(x-3) + 5 (x-3)

Taking (x-3) , common between two terms of the above expression, then the given expression is reduced in the form of,

→(x-3)(7 x² +5)→→Completely factored form of polynomial
`7 x^3-21 x^2+ 5 x - 15`