Multiplying polynomial by polynomial

Multiplying polynomial by polynomial

When multiplying polynomials, we need to distribute each term in the first polynomial to every term in the second polynomial. Then, we combine any like terms.
Basic concepts: Combining the exponent rules, Multiplying monomial by monomial, Multiplying monomial by binomial, Multiplying binomial by binomial,
Related concepts: Exponents: Product rule (ax)(ay)=a(x+y) (a^x)(a^y)=a^{(x+y)}, Exponents: Power rule (ax)y=a(x⋅y) (a^x)^y = a^{(x\cdot y)}, Exponents: Negative exponents,

Lessons

  • 1.
    Multiplying a polynomial by a polynomial
    a)
    (2a+b)(2a2−5ab+4b2){(2a+b)(2a^2-5ab+4b^2)}

    b)
    (x−y+3)(x2+3y3−2){(x-y+3)(x^2+3y^3-2)}

    c)
    (3x−4y)3{(3x-4y)^3}

    d)
    (a−b)4{(a-b)^4}

    e)
    6(5x−3y)(2x+7){6(5x-3y)(2x+7)}

    f)
    −4(x+3y)(2x−5y){-4(x+3y)(2x-5y)}

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11.
Operations of Polynomials
11.1
What is a polynomial?
11.2
Polynomial components
11.3
Multiplying monomial by monomial
11.4
Multiplying monomial by binomial
11.5
Multiplying binomial by binomial
11.6
Multiplying polynomial by polynomial
11.7
Applications of polynomials
Transition Year Maths
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