Gr 10 Math Ch 1: Products
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Questions and Answers

What is the definition of a binomial?

  • An expression with three terms
  • An expression with two terms (correct)
  • An equation representing two equal expressions
  • An expression with one term
  • In the expression $(2x + 3)(4x + 5)$, what is the coefficient of the $x^2$ term after expansion?

  • 20
  • 8 (correct)
  • 2
  • 10
  • Which of the following correctly represents the product of a monomial and a binomial?

  • A + B + AC
  • ax + ay (correct)
  • aB + aC
  • a^2x + ab
  • What do you call the term that appears without a variable in a mathematical expression?

    <p>Constant</p> Signup and view all the answers

    In the operation $(A + B)(C + D + E)$, how many terms will the product yield?

    <p>6</p> Signup and view all the answers

    Which expression correctly represents the expansion of $(ax + b)(cx + d)$?

    <p>$acx^2 + adx + bcx + bd$</p> Signup and view all the answers

    What is an exponent in mathematical terms?

    <p>The power to which a base is raised</p> Signup and view all the answers

    After multiplying the binomial $(x + 1)$ with the trinomial $(2x + 3 + 4)$, what is the term with the highest degree in the expanded expression?

    <p>8x^2</p> Signup and view all the answers

    What is the resulting term when the monomial $3$ is multiplied by the binomial $(x + 2)$?

    <p>$3x + 6$</p> Signup and view all the answers

    What are the correct terms in the expanded form of $(2x + 3)(3x + 4)$?

    <p>$6x^2 + 17x + 12$</p> Signup and view all the answers

    Which of the following is the expression resulting from $(x + 1)(x^2 + 2x + 3)$?

    <p>$x^3 + 3x^2 + 3x + 1$</p> Signup and view all the answers

    When multiplying the binomial $(3x + 2)$ by the trinomial $(x^2 + x + 1)$, what is the coefficient of the $x^2$ term in the resulting expression?

    <p>3</p> Signup and view all the answers

    What is the general formula to multiply two linear binomials $(ax + b)(cx + d)$?

    <p>$acx^2 + adx + bcx + bd$</p> Signup and view all the answers

    What characteristic defines a trinomial in a mathematical expression?

    <p>It has three terms.</p> Signup and view all the answers

    If you multiply the trinomial $(x + 2 + y)$ by the binomial $(3y + x)$, which term will have the highest degree in the resulting expression?

    <p>$x^2y + 3xy$</p> Signup and view all the answers

    In the expression $(2x + 1)(x + 3)$ after expansion, what is the value of the constant term?

    <p>6</p> Signup and view all the answers

    What is the product of the monomial $4$ and the binomial $(x - 5)$?

    <p>$4x - 20$</p> Signup and view all the answers

    When expanding the expression $(2x + 3)(x - 4)$, which of the following terms will not appear?

    <p>$4x$</p> Signup and view all the answers

    In the expansion of $(5 + 2x)(3 + x + 4y)$, which term represents the coefficient of $x^2$?

    <p>$0$</p> Signup and view all the answers

    Which expression correctly represents the sum of terms after multiplying the binomial $(x + 2)$ by the trinomial $(x^2 + 3x + 1)$?

    <p>$x^3 + 2x^2 + 5x + 2$</p> Signup and view all the answers

    Which of the following expresses the expansion of the binomial $(x + 1)(2x + 3)$ correctly?

    <p>$2x^2 + 5x + 3$</p> Signup and view all the answers

    What is the general form for the product of two polynomials when both are of degrees $n$?

    <p>Degree of $2n$</p> Signup and view all the answers

    When expanding $(x - 3)(x + 2)$, which term represents the constant in the resulting expression?

    <p>$-6$</p> Signup and view all the answers

    Which of the following correctly identifies what happens when a monomial is multiplied by a polynomial?

    <p>Each term in the polynomial is multiplied by the monomial.</p> Signup and view all the answers

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