2024年4月1日发(作者：望梦玉)
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加拿大数学10年级练习第三部分
1. Write y = (x ? 6)(x ? 4)(x + 2) in standard form. ? ? ? ?
y = x3 + 48 y = x3 ? 8x2 + 4x + 48 y = x3 ? 2x2 + 4x ? 8 y = x3 ? 8x2 ? 8x +
24 2. Factor x4 ? 8x2 + 15. ? ? ? ? (x? 3)2(x ? 5)2 (x ? 3)(x + 3)(x ?
5)(x + 5) (x ? (x ? )(x + )2(x ? )(x ? )2 )(x + ) 3. Solve x3 +
5x2 ? 9x ? 45 = 0 by graphing. ? ? ? ? 5, 3 ?5, ?3, 3 ?3, 5, 3 ?5, 9 4.
Evaluate . ? ? ? ? 60,480 504 84 5. Find the roots of x3 + 4x2 + 3x
+ 12 = 0. ? x = ?4, ±i ? ? ? x = ?4, x = ?4, ±3i x = 4, ±i
6. Classify 2x3 ? 2x by degree and by number of terms. ? ? ? ? cubic
monomial quadratic binomial cubic binomial cubic trinomial 7. Divide
(5x3 ? 6 ? 5x) ÷ (10 + 5x) using synthetic division. ? ? ? ? x2 ? 2x + 3, R 24
x2 ? 3x, R 44 x2 ? 2x + 3, R ?36 x2 ? 3x, R ?56 8. Use a graphing calculator
to find a polynomial function to model the data. ? ? ? ? f(x) = + +
+ f(x) = + + f(x) = ? ? ? ? f(x) = + + + 9. Factor 3q3 ?
81. ? ? ? 3(q ? 3)(q2 + 3q + 9) (q + 3)(q2 + 3q + 9) ?3(q ? 3)(q2 + 3q +
9) ? (q ? 3)(q2 + 3q + 9) 10. The table shows the number of hybrid
cottonwood trees planted in tree farms in Oregon since 1987. Find a cubic function
to model the data and use it to estimate the number of cottonwoods planted in
1998. ? ? ? ? T(x) = + + ; thousand trees T(x) = + + + ;
thousand trees T(x) = + + + ; thousand trees T(x) = + + ; thousand
trees 11. Solve x4 ? 17x2 + 16 = 0. ? ? ? ? x = ±1, ±2i x = ±1, ±4 x =
±1, ±4i x = ±1, ±2 12. If no digit appears more than once, how many
3-digit numbers can be formed from the digits 2, 4, 5, 7, and 9? ? ? ? ? 60
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numbers 10 numbers 5 numbers 25 numbers 13. Evaluate . ? ?
14,190 4 ? ? 8555 14. Evaluate . ? ? ? ? 99 110 55
77 15. Assume red and green are equally likely occurrences. What is the
probability that you will get zero green lights in a row of five lights? ? ? ? ?
16. Write a polynomial in standard form with zeros ?3, ?6, and ?1. ? ? ? ?
x3 + 10x2 + 27x + 18 = 0 x3 ? 10x2 ? 27x ? 18 = 0 x3 ? 2x2 + 21x + 18 = 0 x3 ?
4x2 + 9x + 18 = 0 17. Divide (x4 ? 11x3 ? 49x2 + 899x ? 2506) ÷ (x ?
8). ? ? ? ? x3 ? 3x2 ? 24x ? 584, R ?14 x3 ? 3x2 + 73x + 315, R ?1483 x3 +
8x2 ? 24x ? 584, R 1483 x3 ? 3x2 ? 73x + 315, R 14 18. A fifth-degree
polynomial equation with rational coefficients has the roots 2, ?7i, and ?7 + i. Find
the remaining roots. ? 7i, ?7 + i ? ? ? ?2, 7i, ?7 ? i 7i, ?7 ? i ?7i,
7 ? i 19. Find only the rational roots of 4x3 ? 3x ? 1 = 0. ? ? ? ? ?1,
1, ? , ±1, ±±1 20. Evaluate 9P8. ? ? ? ? 181,440 72
1 362,880
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2024年4月1日发(作者：望梦玉)
================精选公文范文，管理类，工作总结类，工作计划类文档，欢迎阅读下载==============
加拿大数学10年级练习第三部分
1. Write y = (x ? 6)(x ? 4)(x + 2) in standard form. ? ? ? ?
y = x3 + 48 y = x3 ? 8x2 + 4x + 48 y = x3 ? 2x2 + 4x ? 8 y = x3 ? 8x2 ? 8x +
24 2. Factor x4 ? 8x2 + 15. ? ? ? ? (x? 3)2(x ? 5)2 (x ? 3)(x + 3)(x ?
5)(x + 5) (x ? (x ? )(x + )2(x ? )(x ? )2 )(x + ) 3. Solve x3 +
5x2 ? 9x ? 45 = 0 by graphing. ? ? ? ? 5, 3 ?5, ?3, 3 ?3, 5, 3 ?5, 9 4.
Evaluate . ? ? ? ? 60,480 504 84 5. Find the roots of x3 + 4x2 + 3x
+ 12 = 0. ? x = ?4, ±i ? ? ? x = ?4, x = ?4, ±3i x = 4, ±i
6. Classify 2x3 ? 2x by degree and by number of terms. ? ? ? ? cubic
monomial quadratic binomial cubic binomial cubic trinomial 7. Divide
(5x3 ? 6 ? 5x) ÷ (10 + 5x) using synthetic division. ? ? ? ? x2 ? 2x + 3, R 24
x2 ? 3x, R 44 x2 ? 2x + 3, R ?36 x2 ? 3x, R ?56 8. Use a graphing calculator
to find a polynomial function to model the data. ? ? ? ? f(x) = + +
+ f(x) = + + f(x) = ? ? ? ? f(x) = + + + 9. Factor 3q3 ?
81. ? ? ? 3(q ? 3)(q2 + 3q + 9) (q + 3)(q2 + 3q + 9) ?3(q ? 3)(q2 + 3q +
9) ? (q ? 3)(q2 + 3q + 9) 10. The table shows the number of hybrid
cottonwood trees planted in tree farms in Oregon since 1987. Find a cubic function
to model the data and use it to estimate the number of cottonwoods planted in
1998. ? ? ? ? T(x) = + + ; thousand trees T(x) = + + + ;
thousand trees T(x) = + + + ; thousand trees T(x) = + + ; thousand
trees 11. Solve x4 ? 17x2 + 16 = 0. ? ? ? ? x = ±1, ±2i x = ±1, ±4 x =
±1, ±4i x = ±1, ±2 12. If no digit appears more than once, how many
3-digit numbers can be formed from the digits 2, 4, 5, 7, and 9? ? ? ? ? 60
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================精选公文范文，管理类，工作总结类，工作计划类文档，欢迎阅读下载==============
numbers 10 numbers 5 numbers 25 numbers 13. Evaluate . ? ?
14,190 4 ? ? 8555 14. Evaluate . ? ? ? ? 99 110 55
77 15. Assume red and green are equally likely occurrences. What is the
probability that you will get zero green lights in a row of five lights? ? ? ? ?
16. Write a polynomial in standard form with zeros ?3, ?6, and ?1. ? ? ? ?
x3 + 10x2 + 27x + 18 = 0 x3 ? 10x2 ? 27x ? 18 = 0 x3 ? 2x2 + 21x + 18 = 0 x3 ?
4x2 + 9x + 18 = 0 17. Divide (x4 ? 11x3 ? 49x2 + 899x ? 2506) ÷ (x ?
8). ? ? ? ? x3 ? 3x2 ? 24x ? 584, R ?14 x3 ? 3x2 + 73x + 315, R ?1483 x3 +
8x2 ? 24x ? 584, R 1483 x3 ? 3x2 ? 73x + 315, R 14 18. A fifth-degree
polynomial equation with rational coefficients has the roots 2, ?7i, and ?7 + i. Find
the remaining roots. ? 7i, ?7 + i ? ? ? ?2, 7i, ?7 ? i 7i, ?7 ? i ?7i,
7 ? i 19. Find only the rational roots of 4x3 ? 3x ? 1 = 0. ? ? ? ? ?1,
1, ? , ±1, ±±1 20. Evaluate 9P8. ? ? ? ? 181,440 72
1 362,880
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