Write the coefficient of x2, x in f(x) = –41x3 + 31x2 – 1

Concept Used:Coefficient is the constant term beside the variableExplanation:f(x) = –41x3 + 31x2 – 1Coefficient of x2 = +31Coefficient of x = 0

Q3 of 32 Page 2

Write the coefficient of x², x in f(x) = –41x³ + 31x² – 1

Concept Used:

Coefficient is the constant term beside the variable

Explanation:

f(x) = –41x³ + 31x² – 1

Coefficient of x² = +31

Coefficient of x = 0

If (x + 1) is a factor of f(x) = ax² – x + 1. Find the value of a.

If f(x) = ax¹⁰⁰ – bx² + cx + d. Find the degree of the polynomial and find the number of zeroes of the polynomial.

If f(x) = 3x⁴ – 2x³ + 2x + 1. Find the value of f(1) – f(0).

If f(x) = x⁴ – 2x² + ax – b is divided by (x – 2), the remainder is 4. If (a + b) = –4. Find the value of a.