Question

Consider the following polynomial.

X^3 -6x^2 + 49x -294
Write the equivalent factored form of the polynomial. Fill in the expression with the values of a, b and where a is an integer and band
care complex numbers.

Answer 1

The equivalent factored form of this equation is (x² + 49)(x - 6)

Explanation:

x³ - 6x² + 49x - 294

First, group the first and second terms together and group the last two terms together.

(x³ - 6x²) + (49x - 294)

Find the greatest common factor of both parentheses and factor them.

x²(x - 6) + 49(x - 6)

Now, since the two terms in the parentheses are the same, then we have factored the equation correctly.

So, the factored form of the equation is (x² + 49)(x - 6)

Answer 2

Answer:(x-6)(x+7i)(x-7i)

Explanation:

(x-6)(x^2+49)=(x-6)(x^2-(-49)

(x-6)(x^2-(7i)^2)

(x-6)(x+7i)(x-7i)