Question

The polynomial p(x)=3x^3-20x^2+37x-20p(x)=3x 3 −20x 2 +37x−20p, left parenthesis, x, right parenthesis, equals, 3, x, cubed, minus, 20, x, squared, plus, 37, x, minus, 20 has a known factor of (x-4)(x−4)left parenthesis, x, minus, 4, right parenthesis. Rewrite P(x) as a product of linear factors

Answer 1

Answer:

(x-4)(3x-5)(x-1)

Step-by-step explanation:

you shouldn't need much of an explantion

Answer 2

The polynomial P(x) = 3x^3-20x^2+37x-20 as a product of linear factors is P(x) = (3x - 5)(x - 1)(x - 4)

How to express as linear factors?

The polynomial is given as:

P(x) = 3x^3-20x^2+37x-20

The factor is given as: x - 4

This means that:

P(x)/x - 4 = 3x^3-20x^2+37x-20/x - 4

Factorize the numerator

P(x) = (3x - 5)(x - 1)(x - 4)/(x - 4)

Cancel out the common factors

P(x) = (3x - 5)(x - 1)(x - 4)

Hence, the polynomial P(x) = 3x^3-20x^2+37x-20 as a product of linear factors is P(x) = (3x - 5)(x - 1)(x - 4)

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