Imaginary zeros of polynomials - Polynomial Functions

Imaginary zeros of polynomials

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Notes:

Based on the quadratic formula $\frac{{ - b \pm \sqrt {{b^2} - 4ac} }}{{2a}}$ , non-real roots occur when the discriminant, ${b^2} - 4ac$ , is negative. Non-real roots always occur in pairs.

Imaginary zeros of polynomials

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Imaginary zeros of polynomials

Lessons

Notes:

Based on the quadratic formula $\frac{{ - b \pm \sqrt {{b^2} - 4ac} }}{{2a}}$ , non-real roots occur when the discriminant, ${b^2} - 4ac$ , is negative. Non-real roots always occur in pairs.

1.

Discussing the Relationship Between the Discriminant and X-intercepts on a Graph
Sketch and compare the following quadratic functions:
i)
$y=2{x^2} + x - 15$
ii)
$y=x^2+4x+4$
iii)
$y=2{x^2} + x + 15$

2.

Imaginary zeros of polynomials

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Notes:

Based on the quadratic formula −b±b2−4ac2a\frac{{ - b \pm \sqrt {{b^2} - 4ac} }}{{2a}}​2a​​−b±√​b​2​​−4ac​​​​​ , non-real roots occur when the discriminant, b2−4ac{b^2} - 4acb​2​​−4ac , is negative. Non-real roots always occur in pairs.

1.

Discussing the Relationship Between the Discriminant and X-intercepts on a Graph Sketch and compare the following quadratic functions: i) y=2x2+x−15y=2{x^2} + x - 15 y=2x​2​​+x−15 ii) y=x2+4x+4y=x^2+4x+4y=x​2​​+4x+4 iii) y=2x2+x+15y=2{x^2} + x + 15y=2x​2​​+x+15

2.

Imaginary zeros of polynomials

Don't just watch, practice makes perfect.

We have over 1850 practice questions in Algebra for you to master.

or

Based on the quadratic formula $\frac{{ - b \pm \sqrt {{b^2} - 4ac} }}{{2a}}$ , non-real roots occur when the discriminant, ${b^2} - 4ac$ , is negative. Non-real roots always occur in pairs.

Discussing the Relationship Between the Discriminant and X-intercepts on a Graph
Sketch and compare the following quadratic functions:
i)
$y=2{x^2} + x - 15$
ii)
$y=x^2+4x+4$
iii)
$y=2{x^2} + x + 15$