Question

Divide 9x⁴−12x³ by 103x². What is the quotient?

a) 0.0874x²−0.1164x
b) 0.0874x²+0.1164x
c) 0.874x²−1.164x
d) 8.74x²−11.64x

Answer 1

When dividing 9x⁴-12x³ by 103x², the quotient is 0.0874x² - 0.1164x, which matches option a.

Step-by-step explanation:

To divide 9x⁴−12x³ by 103x², we follow the steps of polynomial division. First, divide the leading term of the numerator (9x⁴) by the leading term of the denominator (103x²), which gives us 9/103 x². Then, we divide the second term of the numerator (-12x³) by the leading term of the denominator (103x²), resulting in -12/103 x. So, by performing these operations, we get:

−0.0874x²−0.1164x

Therefore, the quotient from dividing 9x⁴−12x³ by 103x² is 0.0874x² − 0.1164x, which corresponds to option a.