Instructions: Multiply the following monomials by polynomials. For the first one you’ll fill in parts as you go, then for the next you’ll type your answer all the way out. Remember these should always be typed/written in standard form. Now is a good time to refer back to that “how to type your answers” guide at the beginning for what your exponent answers will look like typed. Problem A−3x(5x2−3x+7)−3𝑥(5𝑥2−3𝑥+7)(−3x)((−3𝑥)( )+(−3x)()+(−3𝑥)( )+(−3x)()+(−3𝑥)( ))−15x−15𝑥+9x+9𝑥−21x−21𝑥 Problem B4x(−2x2−2x+5)4𝑥(−2𝑥2−2𝑥+5) Problem C2x(5x2−3x+6)2𝑥(5𝑥2−3𝑥+6)CheckQuestion 1

Expand the expression to a polynomial in standard form:left bracket, 3, x, plus, 7, right bracket, left bracket, 3, x, squared, minus, 5, x, plus, 3, right bracket(3x+7)(3x 2 −5x+3)

Instructions: Multiply the polynomial expressions. (2x+3)(2x2−5x−5)(2𝑥+3)(2𝑥2−5𝑥−5)Question 10Select one:4x3−4x2−5x−154𝑥3−4𝑥2−5𝑥−154x3−4x2−25x−154𝑥3−4𝑥2−25𝑥−154x3+16x2−25x−154𝑥3+16𝑥2−25𝑥−1510x2−35x−15

Problem(6x2−7x+5)−(4x2+3x−8)(6𝑥2−7𝑥+5)−(4𝑥2+3𝑥−8) SolutionFirst, you want to remove the parentheses. Because this is a subtraction problem, it is like there is a −1 in front of the second set of parentheses.1(6x2−7x+5)+(−1)(4x2+3x−8)1(6𝑥2−7𝑥+5)+(−1)(4𝑥2+3𝑥−8)When you distribute a −1, each term inside that set of parentheses will change its sign. We can also drop the parentheses in this step.=6x2−7x+5−4x2−3x+8=6𝑥2−7𝑥+5−4𝑥2−3𝑥+8Next, combine like terms. You can start with rearranging them so that like terms are together. Remember to keep the signs with the correct terms.=6x2−4x2−7x−3x+5+8=6𝑥2−4𝑥2−7𝑥−3𝑥+5+8== x2−𝑥2− x+𝑥+

Express as a trinomial.left bracket, 3, x, minus, 7, right bracket, left bracket, x, minus, 1, right bracket(3x−7)(x−1)

Instructions: For the following polynomial expression, identify the number of terms, the coefficient of each term, the constant, the degree of each term and the degree of the polynomial. Then name the polynomial by degree and number of terms.x5−3x3+4x2−5x+7𝑥5−3𝑥3+4𝑥2−5𝑥+7This polynomial expression has five terms, which makes it a polynomial.The coefficients of each term, in order, are 1,−3,4,−51,−3,4,−5 and the constant is 77.Next, let’s find the degree of each term:x5𝑥5 has a degree of .−3x3−3𝑥3 has a degree of .4x24𝑥2 has a degree of .−5x−5𝑥 has a degree of .77 has a degree of .The term with the largest degree is x5𝑥5 with a degree of 55. Therefore, the degree of the polynomial is 55.Altogether, the polynomial is classified as a fifth-degree polynomial.