Combining Polynomials Worksheet
A Grade 11 math worksheet focused on combining polynomials through addition, subtraction, and multiplication, including special products.
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Standards
Topics
Combining Polynomials
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Read each question carefully and show all your work. Simplify your answers as much as possible.
1. Find the sum: $(5x^3 - 2x^2 + 7x - 1) + (3x^3 + 4x^2 - 2x + 8)$
2. Find the difference: $(4y^4 + 6y^2 - 3y + 10) - (2y^4 - 2y^3 + 5y - 7)$
3. Multiply the polynomials: $(2x + 3)(x^2 - 4x + 5)$
4. Expand the expression: $(3a - 2b)^2$
5. The product of $(x + 5)(x - 5)$ is .
6. When you square a binomial $(a + b)^2$, the result is a trinomial of the form .
7. Which of the following is equivalent to $(x^2 - 3x)(2x + 1)$?
$2x^3 - 5x^2 - 3x$
$2x^3 - 7x^2 - 3x$
$2x^3 - 6x^2 - 3x$
$2x^3 + x^2 - 3x$
8. The length of a rectangle is $(3x + 2)$ units and its width is $(x - 1)$ units. Find the perimeter and area of the rectangle in terms of $x$.
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