math 10 quarter 2

Which of the following is a polynomial function?

• f(x) = 4^x – 2

• f(x) = x^1/2 -

• f(x) = x⁴ + 9x^{– 3} – 5

• f(x)= $\frac{5x^3}{6}$ + $7x^2$ $-\frac{x}{3}+1$

What is the degree of the given polynomial function x + 2 = 0 ?

• -2

• 0

• 1

• 2

Use synthetic division to find the quotient and remainder for (2 x ³ − x ² + 2 x + 4) ÷ (x − 3).

• The quotient is 2 x ² + 5 x + 17, and the remainder is 55.

• The quotient is 2 x ² + 5 x + 7, and the remainder is 29.

• The quotient is 2 x ² + x + 5, and the remainder is 19.

• The quotient is 2 x ² + x + 3, and the remainder is 7.

Find the value of k so that the remainder when P(x) = x³ – kx² + x + 4 divided by x – 2 is 2.

• 3

• -3

• 2

• 6

Find all zeros for f(x) = x ³ − 6 x ² + 13 x − 10.

• −2, 2 ± i

• 2, 2 ± i

• 2, 1 ±2 i

• −2, 1 ±2 i

What value of k will make x + 3 a factor of 2x³ + x² – ( 3k – 2 ) x + 6?

• -5

• -3

• 3

• 5

What theorem states that if a polynomial P(x) is divided by x – c, where c is a real number, then the remainder is P(c)?

• Factor Theorem

• Remainder Theorem

• Rational Root Theorem

• Number of Roots Theorem

Find the value of k so that x – 2 is a factor of 4x³ – kx² – 8x – 4.

• 3

• 4

• 6

• 8

Find by inspection the zeros of the function f(x) = ( x + 1 ), ( x – 2 ), ( x – 3 ).

• 2, 3, - 1

• 2, - 3, - 1

• - 2, - 3, 1

• 1, - 2, - 3

Find the zeros of the polynomial equation x³ – x = 0.

• 0, 1, 1

• - 1 , -1

• -1, 1, 0

• 0, 1, 3