Solving Polynomials of Degree Three

Using synthetic division, find the remaining factors of (x³ +x² -17x +15) if (x -1) is a factor?*FACTOR COMPLETELY*

• (x + 5)(x - 3)

• (x + 5)(x + 3)

• (x - 5)(x + 3)

• (x - 5)(x - 3)

Solve, choose all that apply.

x³ + 2x² + 5x + 10 = 0

• -2

• 2

• -i√5

• i√5

• 0

Find the root(s) of the function.

• x = 3

• x = (-1,2,4)

• x = (2, -2, -4)

• x = -1

Find all zeros for the polynomial
P(x) = x³ -3x²-5x+15

• 3, √5 

• 3, √5, -√5

• -3, √5, -√5

• -3, 5i, -5i

• 2x³ - x² + x + 9

• 2x² - x + 1

Maya is working on a polynomial for her math class. She needs to classify the polynomial by the DEGREE:
4x³ - 5x² + 2x - 1

• 1

• 2

• 3

• 4

Answer explanation

The degree of the polynomial is determined by the highest power of the variable, which is 3 in this case. Therefore, the degree is 3.

David is analyzing a polynomial written in standard form:
7x³ - 11x² + 8x - 5

• True

• False

Answer explanation

The polynomial is written in standard form since the terms are arranged in descending order of exponents. Therefore, the statement is True.

Noah and Mia are working on a math problem. They need to classify the polynomial by degree and classification.

• Cubic

• Linear

• Monomial

• Polynomial

Answer explanation

The polynomial 5x^3+2x^2-5x+9 is classified as cubic due to its highest degree term being x^3. It is also classified as a polynomial since it consists of multiple terms.

Benjamin and Lily are studying polynomials. They want to know the largest exponent found in the polynomial. What is it called?

• Term

• Degree

• Constant

• Leading Coefficient

Answer explanation

The largest exponent found in the polynomial is referred to as the Degree. It determines the highest power of the variable in the polynomial.

Use any strategy (Long Division, Synthetic Division, or Area Model) to divide the given polynomial:

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