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If there is no remainder, then the dividend is equal to the quotient times the divisor. The quotient and divisor are both polynomials, and their product, the dividend, is a polynomial. If there is a remainder, then it gets added on to the product of the quotient and the divisor. The sum of the remainder and the product of the quotient and divisor is the dividend, which is a polynomial.
Find the remainder when (x3 – 2) is divided by (x – 1).What is the remainder?
What is the value of A?
What is the value of A?
✔ x²3x1
dividing x2 + 3x + 1 by 3x2 and bringing down 13x.subtracting 3x4 + 9x3 + 3x2 from the dividend and bringing down 13x .multiplying 3x2 by x2 + 3x + 1.
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5
⇒ -2
-2, 5
Complete the sentence below. If (3x2 + 22x + 7) ÷(x + 7) = 3x + 1, then (x + 7)() = . The check of the polynomial division problem shows that the product of two polynomials is a polynomial. This supports the fact that the property is satisfied for polynomial multiplication.
x + 73x + 1✔ 3x² + 22x + 7
associativecommutative✔ closure
Q = R =
–13x + 1✔ –7x + 1–7x + 11
The area, A, of a rectangle is 120x2 + 78x – 90, and the length, l, of the rectangle is 12x + 15. Which of the following gives the width, w, of the rectangle?
Divide The quotient is
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