Sec. 9-2: Multiplying & Factoring. To multiply a MONOMIAL with a polynomial, simply distribute the...
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Sec. 9-2: Multiplying & Factoring
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Transcript of Sec. 9-2: Multiplying & Factoring. To multiply a MONOMIAL with a polynomial, simply distribute the...
![Page 1: Sec. 9-2: Multiplying & Factoring. To multiply a MONOMIAL with a polynomial, simply distribute the monomial through to EACH term of the polynomial. i.e.](https://reader036.fdocuments.us/reader036/viewer/2022082518/5697c0241a28abf838cd4700/html5/thumbnails/1.jpg)
Sec. 9-2:Multiplying & Factoring
![Page 2: Sec. 9-2: Multiplying & Factoring. To multiply a MONOMIAL with a polynomial, simply distribute the monomial through to EACH term of the polynomial. i.e.](https://reader036.fdocuments.us/reader036/viewer/2022082518/5697c0241a28abf838cd4700/html5/thumbnails/2.jpg)
To multiply a MONOMIAL with a polynomial, simply distribute the monomial through to EACH term of the polynomial.
i.e.2x(3x2 – 4x + 5)2x(3x2 – 4x + 5)6x3 - 8x2 + 10x
Do: 3y(2y4 – 3y3 + 7y2 – 5y + 4)
![Page 3: Sec. 9-2: Multiplying & Factoring. To multiply a MONOMIAL with a polynomial, simply distribute the monomial through to EACH term of the polynomial. i.e.](https://reader036.fdocuments.us/reader036/viewer/2022082518/5697c0241a28abf838cd4700/html5/thumbnails/3.jpg)
FACTORING a polynomial “undoes” multiplication.
GCF: Greatest Common Factor:A number &/or variables that go into
EACH term of a polynomial.i.e.Factor: 12x2y – 6xy2 + 10xyWhat goes into EVERY term? 2xy
2xy(6x – 3y + 5)You can check your answer by
multiplying.
![Page 4: Sec. 9-2: Multiplying & Factoring. To multiply a MONOMIAL with a polynomial, simply distribute the monomial through to EACH term of the polynomial. i.e.](https://reader036.fdocuments.us/reader036/viewer/2022082518/5697c0241a28abf838cd4700/html5/thumbnails/4.jpg)
Factor: 16b4 – 4b3 + 8b2
Now, check you answer by multiplying…
You should get back the original trinomial.
4b2(4b2 – b + 2)