Remainder Factor Theorem Polynomials

Find the zeros of the polynomial given one factor. Use synthetic division.

• X= 3,4,5

• x=-3,-4,-5

• x=-3,4,5

• x= 3, -4, -5

Which of these is a possible root of the polynomials?
x³ - 6x² - x + 30

• 0

• 4

• -9

• -15

what is the alternative method in factor theorem instead of (see pic) ?

• long division

• slitting method

• LCM

• HCF

• none of the above

determine which of the following has (x+1) as a factor

• (i)

• (ii)

• (iii)

• (iv)

• only one of them

Answer explanation

don't forget to choose the last option as only one of the answer is correct !

solve the question

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

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

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

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

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