Expand the expression to a polynomial in standard form:left bracket, x, plus, 6, right bracket, left bracket, x, squared, minus, 3, x, minus, 4, right bracket(x+6)(x 2 −3x−4)
Question
Expand the expression to a polynomial in standard form:left bracket, x, plus, 6, right bracket, left bracket, x, squared, minus, 3, x, minus, 4, right bracket(x+6)(x 2 −3x−4)
Solution
To expand the expression to a polynomial in standard form, we need to distribute each term in the first bracket to each term in the second bracket.
Step 1: Distribute x in the first bracket to each term in the second bracket: x * x^2 = x^3 x * -3x = -3x^2 x * -4 = -4x
Step 2: Distribute 6 in the first bracket to each term in the second bracket: 6 * x^2 = 6x^2 6 * -3x = -18x 6 * -4 = -24
Step 3: Combine like terms: x^3 - 3x^2 + 6x^2 - 4x - 18x - 24 = x^3 + 3x^2 - 22x - 24
So, the expression (x+6)(x^2 -3x -4) expands to x^3 + 3x^2 - 22x - 24 in standard form.
Similar Questions
Expand the expression to a polynomial in standard form:left bracket, minus, 4, x, plus, 5, right bracket, left bracket, 3, x, squared, minus, 2, x, minus, 1, right bracket(−4x+5)(3x 2 −2x−1)
Perform the operation.left bracket, 2, x, squared, minus, 4, right bracket, minus, left bracket, minus, x, squared, plus, 3, x, minus, 6, right bracket(2x 2 −4)−(−x 2 +3x−6)
Expand the expression to a polynomial in standard form:left bracket, 2, x, plus, 1, right bracket, left bracket, minus, 3, x, squared, minus, x, plus, 9, right bracket(2x+1)(−3x 2 −x+9)
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)
simplify left bracket, x, plus, 3, right bracket, left bracket, 6, x, squared, minus, x, right bracket, .(x+3)(6x 2 −x)
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.