Ch. 5 Polynomials BINGO

#1

#2 Write a polynomial in standard form with zeros at -2, 3 and 6.

#3 Add or subtract the polynomial. (x3 + 4y2) – (3x3 – 5y2)

#4 Add or subtract the polynomial. (25x4 – 6x2y + 5y) + (– 4x4 – x2y – 12y)

#5 Determine if the binomial (x + 2) is a factor of 𝒇 𝒙 = 𝒙 𝟒 + 𝟏𝟎𝒙 𝟑 + 𝟐𝟏𝒙 𝟐 +𝟔𝒙−𝟖.

#6 Divide 𝒇 𝒙 = 𝒙 𝟒 − 𝟖𝒙 𝟑 − 𝒙 𝟐 +𝟔𝟐𝒙−𝟑𝟒÷(𝒙−𝟕).

#7 Multiply (x + y)(3x3 – xy + 2y2)

#8 Find the roots of the polynomial equation. 𝒇 𝒙 = 𝒙 𝟑 +𝟖

#9 Factor

#10 Divide 24x8y3 – 12xy5 + 27x4y2 – 9x7y4 3xy2

#11 Vocab When we divide one polynomial by another we obtain a quotient and if the remainder is zero, then we call the divisor a _______.

#12 Determine whether the -2 is a zero of 𝒇 𝒙 = 𝒙 𝟒 + 𝒙 𝟐 −𝟏𝟐

#13 Factor

#14 What is the degree and leading coefficient? 23x6 – 345 + 23x3 – 34x8 – 23x5 + 34x2

#15 Solve x4 + 6x2 + 5 = 0

#16 Divide

#17 Given that the polynomial 𝒙 𝟒 −𝟖𝟏 has a root of 3i, find all the roots.

#18 Find a polynomial of the lowest degree with rational coefficients that has the roots 2 and 4i.

#19 A polynomial equation with rational coefficients has the roots 2 – 3i and - 𝟐 . Find two additional roots.

#20 Factor (8x3 – 125)

#21 Vocab In a division problem, the ________ is what the dividend is divided by.

#22 Find all the roots. Give exact answers (no decimals). 𝒇 𝒙 = 𝒙 𝟑 − 𝟐𝒙 𝟐 −𝟑𝒙+𝟔

#23 Graph the polynomial. Make sure to include all roots, any extrema, and the y-intercept.

#24 Graph the polynomial. Make sure to include all roots, any extrema, and the y-intercept.

#25 Find all the roots. Give exact answers (no decimals). 𝒇 𝒙 = 𝒙 𝟓 +𝟏𝟓 𝒙 𝟑 −𝟏𝟔𝒙

#26

#27

#28 a. describe the end behavior, b. determine whether it represents an odd–degree or an even-degree function, and c. state the number of real zeroes.

#29 a. describe the end behavior, b. determine whether it represents an odd–degree or an even-degree function, and c. state the number of real zeroes.

#30 Find all the roots.