Theorems on Polynomials

Which theorem is best to use when you are ask to find the

remainder r when the polynomial p(x) = x³ - 5x² + 2x - 10 is divided by (x-5)?

• Remainder Theorem

• Factor Theorem

• Rational Root Theorem

Tags

CCSS.HSA.APR.B.2

Which theorem is the most appropriate to use when you are ask if (x-4) is a factor of (x³ +x² -16x-16)?

• Remainder Theorem

• Factor Theorem

• Rational Roots Theorem

Tags

CCSS.HSA.APR.B.2

Which theorem is the most appropriate to apply if you are ask to find all the zeros of f(x) = 2x³ + 5x² - 6x - 9?

• Remainder Theorem

• Factor Theorem

• Rational Roots Theorem

Tags

CCSS.HSA.APR.B.2

Which theorem is best to apply if you are asked to decide if (x-3) is a factor of 3x³+10x²-x-12?

• Remainder Theorem

• Factor Theorem

• Rational Roots Theorem

Tags

CCSS.HSA.APR.B.2

Which theorem is best to use when you are ask for the remainder of (3x³ -5x² -4x +1) ÷ (x + 3)?

• Remainder Theorem

• Factor Theorem

• Rational Roots Theorem

Tags

CCSS.HSA.APR.B.2

Which theorem is the most appropriate to use when you are ask for the COMPLETE list of all possible Rational Zeros of f(x) = x³ + 2x² - 6x + 8?

• Remainder Theorem

• Factor Theorem

• Rational Roots Theorem

Tags

CCSS.HSA.APR.B.2

Which theorem is best to apply if you are ask if (x-7) is a factor of (x²-5x+14)?

• Remainder Theorem

• Factor Theorem

• Rational Roots Theorem

Tags

CCSS.HSA.APR.B.2

Which among the three theorems is the most appropriate to use first if you are ask to solve algebraically 2x³ - 11x² + 12x + 9 = 0?

• Remainder Theorem

• Factor Theorem

• Rational Roots Theorem

Tags

CCSS.HSA.APR.B.2

Which theorem is the most appropriate to apply when you are asked for the remainder when a³ - 4 is divided by a + 2?

• Remainder Theorem

• Factor Theorem

• Rational Roots Theorem

Tags

CCSS.HSA.APR.B.2

Which theorem is best to use when you are ask for the zeros (x-intercepts) of f(x) = 7x² - 3x - 4?

• Remainder Theorem

• Factor Theorem

• Rational Root Theorem

Tags

CCSS.HSA.APR.B.2