u - 6) is less than the degree of the divisior polynomial Practice Set 10.1 Divide. Write the quotient and the remainder. (1) 21m = 7m (2) 40 a + (-10a) (3) (-48p') = (-9p) (4) 40m = 30m (5) (5.8 - 3.x) = x2 (6) (8p’- 4p?) = 2p? (7) (2y + 4y2 + 3) = 2y? (8) (21x4- 14x+ + 7x)= 7x3 (9) (6x - 4x4 + 8x + 2x) = 2x² (10) (25m+- 15ml + 10m + 8) = 5m - Let's learn. livide a polynomial by a binomial
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Step-by-step explanation:
i. 40a³ ÷ (-10a)
Division of Polynomials ∴ Quotient = -4a²
Remainder = 0
iii. (- 48p4) ÷ (- 9p2)
∴ Quotient = 163 p²
Remainder = 0 iv. 40m5 ÷ 30m3
∴ Quotient = 43 m²
Remainder = 0 v. (5x3 – 3x2) ÷ x²
∴ Quotient = 5x – 3
Remainder = 0 vi. (8p3 – 4p2) ÷ 2p2
∴ Quotient = 4p – 2
Remainder = 0 ii. (2y3 + 4y2 + 3 ) ÷ 2y2
∴ Quotient = y + 2
Remainder = 3
viii. (21x4 – 14x2 + 7x) ÷ 7x3
∴ Quotient = 3x
Remainder = -14x² + 7 ix. (6x5 – 4x4 + 8x3 + 2x2) ÷ 2x2
∴ Quotient = 3x³ – 2x² + 4x + 1
Remainder = 0
x. (25m4 – 15m3 + 10m + 8) ÷ 5m3
∴ Quotient = 5m – 3
Remainder = 10m + 8
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