The simplified expression by rationalizing the denominator is (C)
.First we must simplify the expression:

Then we factor the rational parts and cancel it out:

Then we rationalize the expression:

<span>Finally, the simplified expression by rationalizing the denominator is (C)

.</span>
Answer:
-24a^3b^7
Step-by-step explanation:
(3a^2b^4)(-8ab^3) Original equation
-24a^3b^7 You have to multiply the coefficients, but because of
the power rule, you have to add the exponents with each other.
Hope this helps!
Answer:
f(x) = x³ + x² - 5x + 3
Step-by-step explanation:
The cubic polynomial has zeros at 1, 1, - 3.
Therefore, x = 1, 1, - 3 are the roots of the polynomial and hence, (x - 1), (x - 1) and (x + 3) will be factors of the cubic polynomial.
Hence, we can write the polynomial as a function of x as
f(x) = (x - 1)(x - 1)(x + 3)
⇒ f(x) = (x² - 2x + 1)(x + 3)
⇒ f(x) = x³ - 2x² + 3x² + x - 6x + 3
⇒ f(x) = x³ + x² - 5x + 3
So, this is the cubic polynomial function in standard form. (Answer)